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Finding the Third Proportional to 668,782 and 1,446,644

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Solution

The third proportional to 668,782 and 1,446,644 is: 3,129,239.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,782 : 1,446,644 = 1,446,644 : x
  2. Step 2: Convert to fraction form
    668,782/1,446,644 = 1,446,644/x
  3. Step 3: Cross multiply
    668,782x = 1,446,644 × 1,446,644
  4. Step 4: Simplify right side
    668,782x = 2,092,778,862,736
  5. Step 5: Solve for x
    x = 2,092,778,862,736/668,782
  6. Step 6: Final answer
    x = 3,129,239.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.