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Finding the Third Proportional to 782,242 and 1,648,552

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Solution

The third proportional to 782,242 and 1,648,552 is: 3,474,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,242 : 1,648,552 = 1,648,552 : x
  2. Step 2: Convert to fraction form
    782,242/1,648,552 = 1,648,552/x
  3. Step 3: Cross multiply
    782,242x = 1,648,552 × 1,648,552
  4. Step 4: Simplify right side
    782,242x = 2,717,723,696,704
  5. Step 5: Solve for x
    x = 2,717,723,696,704/782,242
  6. Step 6: Final answer
    x = 3,474,274.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.