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Finding the Third Proportional to 560,652 and 840,802

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Solution

The third proportional to 560,652 and 840,802 is: 1,260,939.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,652 : 840,802 = 840,802 : x
  2. Step 2: Convert to fraction form
    560,652/840,802 = 840,802/x
  3. Step 3: Cross multiply
    560,652x = 840,802 × 840,802
  4. Step 4: Simplify right side
    560,652x = 706,948,003,204
  5. Step 5: Solve for x
    x = 706,948,003,204/560,652
  6. Step 6: Final answer
    x = 1,260,939.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.