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Finding the Third Proportional to 574,030 and 1,251,397

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Solution

The third proportional to 574,030 and 1,251,397 is: 2,728,070.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,030 : 1,251,397 = 1,251,397 : x
  2. Step 2: Convert to fraction form
    574,030/1,251,397 = 1,251,397/x
  3. Step 3: Cross multiply
    574,030x = 1,251,397 × 1,251,397
  4. Step 4: Simplify right side
    574,030x = 1,565,994,451,609
  5. Step 5: Solve for x
    x = 1,565,994,451,609/574,030
  6. Step 6: Final answer
    x = 2,728,070.75

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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.