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Finding the Third Proportional to 2,132,876.81 and 4,564,689.19

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Solution

The third proportional to 2,132,876.81 and 4,564,689.19 is: 9,769,147.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132,876.81 : 4,564,689.19 = 4,564,689.19 : x
  2. Step 2: Convert to fraction form
    2,132,876.81/4,564,689.19 = 4,564,689.19/x
  3. Step 3: Cross multiply
    2,132,876.81x = 4,564,689.19 × 4,564,689.19
  4. Step 4: Simplify right side
    2,132,876.81x = 20,836,387,378,479.41
  5. Step 5: Solve for x
    x = 20,836,387,378,479.41/2,132,876.81
  6. Step 6: Final answer
    x = 9,769,147.12

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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.