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Finding the Third Proportional to 1,868,761.13 and 3,996,646.31

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Solution

The third proportional to 1,868,761.13 and 3,996,646.31 is: 8,547,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868,761.13 : 3,996,646.31 = 3,996,646.31 : x
  2. Step 2: Convert to fraction form
    1,868,761.13/3,996,646.31 = 3,996,646.31/x
  3. Step 3: Cross multiply
    1,868,761.13x = 3,996,646.31 × 3,996,646.31
  4. Step 4: Simplify right side
    1,868,761.13x = 15,973,181,747,219.85
  5. Step 5: Solve for x
    x = 15,973,181,747,219.85/1,868,761.13
  6. Step 6: Final answer
    x = 8,547,471.12

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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.