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Finding the Third Proportional to 634,412 and 934,092

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Solution

The third proportional to 634,412 and 934,092 is: 1,375,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,412 : 934,092 = 934,092 : x
  2. Step 2: Convert to fraction form
    634,412/934,092 = 934,092/x
  3. Step 3: Cross multiply
    634,412x = 934,092 × 934,092
  4. Step 4: Simplify right side
    634,412x = 872,527,864,464
  5. Step 5: Solve for x
    x = 872,527,864,464/634,412
  6. Step 6: Final answer
    x = 1,375,333.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.