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Finding the Third Proportional to 611,034 and 924,414

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Solution

The third proportional to 611,034 and 924,414 is: 1,398,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,034 : 924,414 = 924,414 : x
  2. Step 2: Convert to fraction form
    611,034/924,414 = 924,414/x
  3. Step 3: Cross multiply
    611,034x = 924,414 × 924,414
  4. Step 4: Simplify right side
    611,034x = 854,541,243,396
  5. Step 5: Solve for x
    x = 854,541,243,396/611,034
  6. Step 6: Final answer
    x = 1,398,516.68

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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.