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Finding the Third Proportional to 717,992 and 1,126,414

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Solution

The third proportional to 717,992 and 1,126,414 is: 1,767,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,992 : 1,126,414 = 1,126,414 : x
  2. Step 2: Convert to fraction form
    717,992/1,126,414 = 1,126,414/x
  3. Step 3: Cross multiply
    717,992x = 1,126,414 × 1,126,414
  4. Step 4: Simplify right side
    717,992x = 1,268,808,499,396
  5. Step 5: Solve for x
    x = 1,268,808,499,396/717,992
  6. Step 6: Final answer
    x = 1,767,162.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.