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Finding the Third Proportional to 1,547,877 and 2,391,863.50

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Solution

The third proportional to 1,547,877 and 2,391,863.50 is: 3,696,037.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547,877 : 2,391,863.50 = 2,391,863.50 : x
  2. Step 2: Convert to fraction form
    1,547,877/2,391,863.50 = 2,391,863.50/x
  3. Step 3: Cross multiply
    1,547,877x = 2,391,863.50 × 2,391,863.50
  4. Step 4: Simplify right side
    1,547,877x = 5,721,011,002,632.25
  5. Step 5: Solve for x
    x = 5,721,011,002,632.25/1,547,877
  6. Step 6: Final answer
    x = 3,696,037.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.