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Finding the Third Proportional to 770,545 and 1,022,431

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Solution

The third proportional to 770,545 and 1,022,431 is: 1,356,656.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,545 : 1,022,431 = 1,022,431 : x
  2. Step 2: Convert to fraction form
    770,545/1,022,431 = 1,022,431/x
  3. Step 3: Cross multiply
    770,545x = 1,022,431 × 1,022,431
  4. Step 4: Simplify right side
    770,545x = 1,045,365,149,761
  5. Step 5: Solve for x
    x = 1,045,365,149,761/770,545
  6. Step 6: Final answer
    x = 1,356,656.85

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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.