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Finding the Third Proportional to 770,549 and 1,022,437

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Solution

The third proportional to 770,549 and 1,022,437 is: 1,356,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,549 : 1,022,437 = 1,022,437 : x
  2. Step 2: Convert to fraction form
    770,549/1,022,437 = 1,022,437/x
  3. Step 3: Cross multiply
    770,549x = 1,022,437 × 1,022,437
  4. Step 4: Simplify right side
    770,549x = 1,045,377,418,969
  5. Step 5: Solve for x
    x = 1,045,377,418,969/770,549
  6. Step 6: Final answer
    x = 1,356,665.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.