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Finding the Third Proportional to 619,520 and 911,134

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Solution

The third proportional to 619,520 and 911,134 is: 1,340,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,520 : 911,134 = 911,134 : x
  2. Step 2: Convert to fraction form
    619,520/911,134 = 911,134/x
  3. Step 3: Cross multiply
    619,520x = 911,134 × 911,134
  4. Step 4: Simplify right side
    619,520x = 830,165,165,956
  5. Step 5: Solve for x
    x = 830,165,165,956/619,520
  6. Step 6: Final answer
    x = 1,340,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.