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Finding the Third Proportional to 596,418 and 1,243,132

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Solution

The third proportional to 596,418 and 1,243,132 is: 2,591,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,418 : 1,243,132 = 1,243,132 : x
  2. Step 2: Convert to fraction form
    596,418/1,243,132 = 1,243,132/x
  3. Step 3: Cross multiply
    596,418x = 1,243,132 × 1,243,132
  4. Step 4: Simplify right side
    596,418x = 1,545,377,169,424
  5. Step 5: Solve for x
    x = 1,545,377,169,424/596,418
  6. Step 6: Final answer
    x = 2,591,097.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.