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Finding the Third Proportional to 1,049,344 and 2,319,216

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Solution

The third proportional to 1,049,344 and 2,319,216 is: 5,125,833.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,344 : 2,319,216 = 2,319,216 : x
  2. Step 2: Convert to fraction form
    1,049,344/2,319,216 = 2,319,216/x
  3. Step 3: Cross multiply
    1,049,344x = 2,319,216 × 2,319,216
  4. Step 4: Simplify right side
    1,049,344x = 5,378,762,854,656
  5. Step 5: Solve for x
    x = 5,378,762,854,656/1,049,344
  6. Step 6: Final answer
    x = 5,125,833.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.