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Finding the Third Proportional to 717,409 and 1,098,712

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Solution

The third proportional to 717,409 and 1,098,712 is: 1,682,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,409 : 1,098,712 = 1,098,712 : x
  2. Step 2: Convert to fraction form
    717,409/1,098,712 = 1,098,712/x
  3. Step 3: Cross multiply
    717,409x = 1,098,712 × 1,098,712
  4. Step 4: Simplify right side
    717,409x = 1,207,168,058,944
  5. Step 5: Solve for x
    x = 1,207,168,058,944/717,409
  6. Step 6: Final answer
    x = 1,682,677.61

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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.