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Finding the Third Proportional to 770,538 and 1,022,421

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Solution

The third proportional to 770,538 and 1,022,421 is: 1,356,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,538 : 1,022,421 = 1,022,421 : x
  2. Step 2: Convert to fraction form
    770,538/1,022,421 = 1,022,421/x
  3. Step 3: Cross multiply
    770,538x = 1,022,421 × 1,022,421
  4. Step 4: Simplify right side
    770,538x = 1,045,344,701,241
  5. Step 5: Solve for x
    x = 1,045,344,701,241/770,538
  6. Step 6: Final answer
    x = 1,356,642.63

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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.