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Finding the Third Proportional to 611,035 and 924,415

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Solution

The third proportional to 611,035 and 924,415 is: 1,398,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,035 : 924,415 = 924,415 : x
  2. Step 2: Convert to fraction form
    611,035/924,415 = 924,415/x
  3. Step 3: Cross multiply
    611,035x = 924,415 × 924,415
  4. Step 4: Simplify right side
    611,035x = 854,543,092,225
  5. Step 5: Solve for x
    x = 854,543,092,225/611,035
  6. Step 6: Final answer
    x = 1,398,517.42

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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.