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Finding the Third Proportional to 719,172 and 1,077,462

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Solution

The third proportional to 719,172 and 1,077,462 is: 1,614,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,172 : 1,077,462 = 1,077,462 : x
  2. Step 2: Convert to fraction form
    719,172/1,077,462 = 1,077,462/x
  3. Step 3: Cross multiply
    719,172x = 1,077,462 × 1,077,462
  4. Step 4: Simplify right side
    719,172x = 1,160,924,361,444
  5. Step 5: Solve for x
    x = 1,160,924,361,444/719,172
  6. Step 6: Final answer
    x = 1,614,251.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.