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Finding the Third Proportional to 656,764 and 1,418,312

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Solution

The third proportional to 656,764 and 1,418,312 is: 3,062,909.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,764 : 1,418,312 = 1,418,312 : x
  2. Step 2: Convert to fraction form
    656,764/1,418,312 = 1,418,312/x
  3. Step 3: Cross multiply
    656,764x = 1,418,312 × 1,418,312
  4. Step 4: Simplify right side
    656,764x = 2,011,608,929,344
  5. Step 5: Solve for x
    x = 2,011,608,929,344/656,764
  6. Step 6: Final answer
    x = 3,062,909.86

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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.