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Finding the Third Proportional to 719,976 and 1,074,132

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Solution

The third proportional to 719,976 and 1,074,132 is: 1,602,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,976 : 1,074,132 = 1,074,132 : x
  2. Step 2: Convert to fraction form
    719,976/1,074,132 = 1,074,132/x
  3. Step 3: Cross multiply
    719,976x = 1,074,132 × 1,074,132
  4. Step 4: Simplify right side
    719,976x = 1,153,759,553,424
  5. Step 5: Solve for x
    x = 1,153,759,553,424/719,976
  6. Step 6: Final answer
    x = 1,602,497.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.