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Finding the Third Proportional to 713,215 and 1,538,782

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Solution

The third proportional to 713,215 and 1,538,782 is: 3,319,966.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,215 : 1,538,782 = 1,538,782 : x
  2. Step 2: Convert to fraction form
    713,215/1,538,782 = 1,538,782/x
  3. Step 3: Cross multiply
    713,215x = 1,538,782 × 1,538,782
  4. Step 4: Simplify right side
    713,215x = 2,367,850,043,524
  5. Step 5: Solve for x
    x = 2,367,850,043,524/713,215
  6. Step 6: Final answer
    x = 3,319,966.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.