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Finding the Third Proportional to 668,437 and 1,443,397

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Solution

The third proportional to 668,437 and 1,443,397 is: 3,116,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,437 : 1,443,397 = 1,443,397 : x
  2. Step 2: Convert to fraction form
    668,437/1,443,397 = 1,443,397/x
  3. Step 3: Cross multiply
    668,437x = 1,443,397 × 1,443,397
  4. Step 4: Simplify right side
    668,437x = 2,083,394,899,609
  5. Step 5: Solve for x
    x = 2,083,394,899,609/668,437
  6. Step 6: Final answer
    x = 3,116,815.65

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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.