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Finding the Third Proportional to 616,980 and 1,251,132

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Solution

The third proportional to 616,980 and 1,251,132 is: 2,537,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,980 : 1,251,132 = 1,251,132 : x
  2. Step 2: Convert to fraction form
    616,980/1,251,132 = 1,251,132/x
  3. Step 3: Cross multiply
    616,980x = 1,251,132 × 1,251,132
  4. Step 4: Simplify right side
    616,980x = 1,565,331,281,424
  5. Step 5: Solve for x
    x = 1,565,331,281,424/616,980
  6. Step 6: Final answer
    x = 2,537,085.94

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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.