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Finding the Third Proportional to 616,432 and 1,324,719

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Solution

The third proportional to 616,432 and 1,324,719 is: 2,846,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,432 : 1,324,719 = 1,324,719 : x
  2. Step 2: Convert to fraction form
    616,432/1,324,719 = 1,324,719/x
  3. Step 3: Cross multiply
    616,432x = 1,324,719 × 1,324,719
  4. Step 4: Simplify right side
    616,432x = 1,754,880,428,961
  5. Step 5: Solve for x
    x = 1,754,880,428,961/616,432
  6. Step 6: Final answer
    x = 2,846,835.38

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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.