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Finding the Third Proportional to 769,473 and 1,320,282

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Solution

The third proportional to 769,473 and 1,320,282 is: 2,265,374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,473 : 1,320,282 = 1,320,282 : x
  2. Step 2: Convert to fraction form
    769,473/1,320,282 = 1,320,282/x
  3. Step 3: Cross multiply
    769,473x = 1,320,282 × 1,320,282
  4. Step 4: Simplify right side
    769,473x = 1,743,144,559,524
  5. Step 5: Solve for x
    x = 1,743,144,559,524/769,473
  6. Step 6: Final answer
    x = 2,265,374.56

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.