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Finding the Third Proportional to 694,126 and 1,407,572

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Solution

The third proportional to 694,126 and 1,407,572 is: 2,854,321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,126 : 1,407,572 = 1,407,572 : x
  2. Step 2: Convert to fraction form
    694,126/1,407,572 = 1,407,572/x
  3. Step 3: Cross multiply
    694,126x = 1,407,572 × 1,407,572
  4. Step 4: Simplify right side
    694,126x = 1,981,258,935,184
  5. Step 5: Solve for x
    x = 1,981,258,935,184/694,126
  6. Step 6: Final answer
    x = 2,854,321.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.