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Finding the Third Proportional to 616,276 and 1,324,532

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Solution

The third proportional to 616,276 and 1,324,532 is: 2,846,752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,276 : 1,324,532 = 1,324,532 : x
  2. Step 2: Convert to fraction form
    616,276/1,324,532 = 1,324,532/x
  3. Step 3: Cross multiply
    616,276x = 1,324,532 × 1,324,532
  4. Step 4: Simplify right side
    616,276x = 1,754,385,019,024
  5. Step 5: Solve for x
    x = 1,754,385,019,024/616,276
  6. Step 6: Final answer
    x = 2,846,752.14

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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.