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Finding the Third Proportional to 722,666 and 1,073,523

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Solution

The third proportional to 722,666 and 1,073,523 is: 1,594,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,666 : 1,073,523 = 1,073,523 : x
  2. Step 2: Convert to fraction form
    722,666/1,073,523 = 1,073,523/x
  3. Step 3: Cross multiply
    722,666x = 1,073,523 × 1,073,523
  4. Step 4: Simplify right side
    722,666x = 1,152,451,631,529
  5. Step 5: Solve for x
    x = 1,152,451,631,529/722,666
  6. Step 6: Final answer
    x = 1,594,722.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.