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Finding the Third Proportional to 869,598 and 1,201,593

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Solution

The third proportional to 869,598 and 1,201,593 is: 1,660,337.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,598 : 1,201,593 = 1,201,593 : x
  2. Step 2: Convert to fraction form
    869,598/1,201,593 = 1,201,593/x
  3. Step 3: Cross multiply
    869,598x = 1,201,593 × 1,201,593
  4. Step 4: Simplify right side
    869,598x = 1,443,825,737,649
  5. Step 5: Solve for x
    x = 1,443,825,737,649/869,598
  6. Step 6: Final answer
    x = 1,660,337.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.