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Finding the Third Proportional to 747,208.13 and 1,547,580.94

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Solution

The third proportional to 747,208.13 and 1,547,580.94 is: 3,205,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,208.13 : 1,547,580.94 = 1,547,580.94 : x
  2. Step 2: Convert to fraction form
    747,208.13/1,547,580.94 = 1,547,580.94/x
  3. Step 3: Cross multiply
    747,208.13x = 1,547,580.94 × 1,547,580.94
  4. Step 4: Simplify right side
    747,208.13x = 2,395,006,758,113.38
  5. Step 5: Solve for x
    x = 2,395,006,758,113.38/747,208.13
  6. Step 6: Final answer
    x = 3,205,273.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.