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Finding the Third Proportional to 664,338 and 1,031,507

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Solution

The third proportional to 664,338 and 1,031,507 is: 1,601,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,338 : 1,031,507 = 1,031,507 : x
  2. Step 2: Convert to fraction form
    664,338/1,031,507 = 1,031,507/x
  3. Step 3: Cross multiply
    664,338x = 1,031,507 × 1,031,507
  4. Step 4: Simplify right side
    664,338x = 1,064,006,691,049
  5. Step 5: Solve for x
    x = 1,064,006,691,049/664,338
  6. Step 6: Final answer
    x = 1,601,604.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.