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Finding the Third Proportional to 2,260,288 and 3,413,472

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Solution

The third proportional to 2,260,288 and 3,413,472 is: 5,155,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260,288 : 3,413,472 = 3,413,472 : x
  2. Step 2: Convert to fraction form
    2,260,288/3,413,472 = 3,413,472/x
  3. Step 3: Cross multiply
    2,260,288x = 3,413,472 × 3,413,472
  4. Step 4: Simplify right side
    2,260,288x = 11,651,791,094,784
  5. Step 5: Solve for x
    x = 11,651,791,094,784/2,260,288
  6. Step 6: Final answer
    x = 5,155,002.86

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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.