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Finding the Third Proportional to 713,557.69 and 1,497,178.69

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Solution

The third proportional to 713,557.69 and 1,497,178.69 is: 3,141,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,557.69 : 1,497,178.69 = 1,497,178.69 : x
  2. Step 2: Convert to fraction form
    713,557.69/1,497,178.69 = 1,497,178.69/x
  3. Step 3: Cross multiply
    713,557.69x = 1,497,178.69 × 1,497,178.69
  4. Step 4: Simplify right side
    713,557.69x = 2,241,544,022,304.22
  5. Step 5: Solve for x
    x = 2,241,544,022,304.22/713,557.69
  6. Step 6: Final answer
    x = 3,141,363.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.