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Finding the Third Proportional to 2,053,506 and 4,503,812

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Solution

The third proportional to 2,053,506 and 4,503,812 is: 9,877,897.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,506 : 4,503,812 = 4,503,812 : x
  2. Step 2: Convert to fraction form
    2,053,506/4,503,812 = 4,503,812/x
  3. Step 3: Cross multiply
    2,053,506x = 4,503,812 × 4,503,812
  4. Step 4: Simplify right side
    2,053,506x = 20,284,322,531,344
  5. Step 5: Solve for x
    x = 20,284,322,531,344/2,053,506
  6. Step 6: Final answer
    x = 9,877,897.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.