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Finding the Third Proportional to 2,095,986.63 and 4,490,772.13

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Solution

The third proportional to 2,095,986.63 and 4,490,772.13 is: 9,621,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,986.63 : 4,490,772.13 = 4,490,772.13 : x
  2. Step 2: Convert to fraction form
    2,095,986.63/4,490,772.13 = 4,490,772.13/x
  3. Step 3: Cross multiply
    2,095,986.63x = 4,490,772.13 × 4,490,772.13
  4. Step 4: Simplify right side
    2,095,986.63x = 20,167,034,278,677.02
  5. Step 5: Solve for x
    x = 20,167,034,278,677.02/2,095,986.63
  6. Step 6: Final answer
    x = 9,621,738.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.