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Finding the Third Proportional to 616,591 and 1,345,231

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Solution

The third proportional to 616,591 and 1,345,231 is: 2,934,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,591 : 1,345,231 = 1,345,231 : x
  2. Step 2: Convert to fraction form
    616,591/1,345,231 = 1,345,231/x
  3. Step 3: Cross multiply
    616,591x = 1,345,231 × 1,345,231
  4. Step 4: Simplify right side
    616,591x = 1,809,646,443,361
  5. Step 5: Solve for x
    x = 1,809,646,443,361/616,591
  6. Step 6: Final answer
    x = 2,934,921.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.