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Finding the Third Proportional to 2,260,292 and 3,413,478

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Solution

The third proportional to 2,260,292 and 3,413,478 is: 5,155,011.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260,292 : 3,413,478 = 3,413,478 : x
  2. Step 2: Convert to fraction form
    2,260,292/3,413,478 = 3,413,478/x
  3. Step 3: Cross multiply
    2,260,292x = 3,413,478 × 3,413,478
  4. Step 4: Simplify right side
    2,260,292x = 11,651,832,056,484
  5. Step 5: Solve for x
    x = 11,651,832,056,484/2,260,292
  6. Step 6: Final answer
    x = 5,155,011.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.