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Finding the Third Proportional to 736,727 and 1,610,415

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Solution

The third proportional to 736,727 and 1,610,415 is: 3,520,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,727 : 1,610,415 = 1,610,415 : x
  2. Step 2: Convert to fraction form
    736,727/1,610,415 = 1,610,415/x
  3. Step 3: Cross multiply
    736,727x = 1,610,415 × 1,610,415
  4. Step 4: Simplify right side
    736,727x = 2,593,436,472,225
  5. Step 5: Solve for x
    x = 2,593,436,472,225/736,727
  6. Step 6: Final answer
    x = 3,520,213.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.