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Finding the Third Proportional to 574,050 and 1,251,438

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Solution

The third proportional to 574,050 and 1,251,438 is: 2,728,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,050 : 1,251,438 = 1,251,438 : x
  2. Step 2: Convert to fraction form
    574,050/1,251,438 = 1,251,438/x
  3. Step 3: Cross multiply
    574,050x = 1,251,438 × 1,251,438
  4. Step 4: Simplify right side
    574,050x = 1,566,097,067,844
  5. Step 5: Solve for x
    x = 1,566,097,067,844/574,050
  6. Step 6: Final answer
    x = 2,728,154.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.