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Finding the Third Proportional to 513,416 and 1,116,328

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Solution

The third proportional to 513,416 and 1,116,328 is: 2,427,248.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,416 : 1,116,328 = 1,116,328 : x
  2. Step 2: Convert to fraction form
    513,416/1,116,328 = 1,116,328/x
  3. Step 3: Cross multiply
    513,416x = 1,116,328 × 1,116,328
  4. Step 4: Simplify right side
    513,416x = 1,246,188,203,584
  5. Step 5: Solve for x
    x = 1,246,188,203,584/513,416
  6. Step 6: Final answer
    x = 2,427,248.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.