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Finding the Third Proportional to 952,694 and 1,474,497

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Solution

The third proportional to 952,694 and 1,474,497 is: 2,282,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,694 : 1,474,497 = 1,474,497 : x
  2. Step 2: Convert to fraction form
    952,694/1,474,497 = 1,474,497/x
  3. Step 3: Cross multiply
    952,694x = 1,474,497 × 1,474,497
  4. Step 4: Simplify right side
    952,694x = 2,174,141,403,009
  5. Step 5: Solve for x
    x = 2,174,141,403,009/952,694
  6. Step 6: Final answer
    x = 2,282,098.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.