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Finding the Third Proportional to 611,228 and 934,414

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Solution

The third proportional to 611,228 and 934,414 is: 1,428,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,228 : 934,414 = 934,414 : x
  2. Step 2: Convert to fraction form
    611,228/934,414 = 934,414/x
  3. Step 3: Cross multiply
    611,228x = 934,414 × 934,414
  4. Step 4: Simplify right side
    611,228x = 873,129,523,396
  5. Step 5: Solve for x
    x = 873,129,523,396/611,228
  6. Step 6: Final answer
    x = 1,428,484.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.