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Finding the Third Proportional to 616,670 and 1,250,352

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Solution

The third proportional to 616,670 and 1,250,352 is: 2,535,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,670 : 1,250,352 = 1,250,352 : x
  2. Step 2: Convert to fraction form
    616,670/1,250,352 = 1,250,352/x
  3. Step 3: Cross multiply
    616,670x = 1,250,352 × 1,250,352
  4. Step 4: Simplify right side
    616,670x = 1,563,380,123,904
  5. Step 5: Solve for x
    x = 1,563,380,123,904/616,670
  6. Step 6: Final answer
    x = 2,535,197.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.