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Finding the Third Proportional to 616,126 and 1,323,920

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Solution

The third proportional to 616,126 and 1,323,920 is: 2,844,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,126 : 1,323,920 = 1,323,920 : x
  2. Step 2: Convert to fraction form
    616,126/1,323,920 = 1,323,920/x
  3. Step 3: Cross multiply
    616,126x = 1,323,920 × 1,323,920
  4. Step 4: Simplify right side
    616,126x = 1,752,764,166,400
  5. Step 5: Solve for x
    x = 1,752,764,166,400/616,126
  6. Step 6: Final answer
    x = 2,844,814.48

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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.