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Finding the Third Proportional to 616,329 and 1,281,042

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Solution

The third proportional to 616,329 and 1,281,042 is: 2,662,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,329 : 1,281,042 = 1,281,042 : x
  2. Step 2: Convert to fraction form
    616,329/1,281,042 = 1,281,042/x
  3. Step 3: Cross multiply
    616,329x = 1,281,042 × 1,281,042
  4. Step 4: Simplify right side
    616,329x = 1,641,068,605,764
  5. Step 5: Solve for x
    x = 1,641,068,605,764/616,329
  6. Step 6: Final answer
    x = 2,662,650.31

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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.