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Finding the Third Proportional to 770,481 and 1,655,658

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Solution

The third proportional to 770,481 and 1,655,658 is: 3,557,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,481 : 1,655,658 = 1,655,658 : x
  2. Step 2: Convert to fraction form
    770,481/1,655,658 = 1,655,658/x
  3. Step 3: Cross multiply
    770,481x = 1,655,658 × 1,655,658
  4. Step 4: Simplify right side
    770,481x = 2,741,203,412,964
  5. Step 5: Solve for x
    x = 2,741,203,412,964/770,481
  6. Step 6: Final answer
    x = 3,557,781.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.