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Finding the Third Proportional to 908,139,705.19 and 1,421,486,672.06

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Solution

The third proportional to 908,139,705.19 and 1,421,486,672.06 is: 2,225,014,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,139,705.19 : 1,421,486,672.06 = 1,421,486,672.06 : x
  2. Step 2: Convert to fraction form
    908,139,705.19/1,421,486,672.06 = 1,421,486,672.06/x
  3. Step 3: Cross multiply
    908,139,705.19x = 1,421,486,672.06 × 1,421,486,672.06
  4. Step 4: Simplify right side
    908,139,705.19x = 2,020,624,358,851,321,344
  5. Step 5: Solve for x
    x = 2,020,624,358,851,321,344/908,139,705.19
  6. Step 6: Final answer
    x = 2,225,014,881.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.