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Finding the Third Proportional to 763,265 and 1,642,441

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Solution

The third proportional to 763,265 and 1,642,441 is: 3,534,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,265 : 1,642,441 = 1,642,441 : x
  2. Step 2: Convert to fraction form
    763,265/1,642,441 = 1,642,441/x
  3. Step 3: Cross multiply
    763,265x = 1,642,441 × 1,642,441
  4. Step 4: Simplify right side
    763,265x = 2,697,612,438,481
  5. Step 5: Solve for x
    x = 2,697,612,438,481/763,265
  6. Step 6: Final answer
    x = 3,534,306.48

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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.