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Finding the Third Proportional to 635,472 and 1,323,216

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Solution

The third proportional to 635,472 and 1,323,216 is: 2,755,275.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,472 : 1,323,216 = 1,323,216 : x
  2. Step 2: Convert to fraction form
    635,472/1,323,216 = 1,323,216/x
  3. Step 3: Cross multiply
    635,472x = 1,323,216 × 1,323,216
  4. Step 4: Simplify right side
    635,472x = 1,750,900,582,656
  5. Step 5: Solve for x
    x = 1,750,900,582,656/635,472
  6. Step 6: Final answer
    x = 2,755,275.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.