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Finding the Third Proportional to 972,744 and 1,553,974

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Solution

The third proportional to 972,744 and 1,553,974 is: 2,482,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,744 : 1,553,974 = 1,553,974 : x
  2. Step 2: Convert to fraction form
    972,744/1,553,974 = 1,553,974/x
  3. Step 3: Cross multiply
    972,744x = 1,553,974 × 1,553,974
  4. Step 4: Simplify right side
    972,744x = 2,414,835,192,676
  5. Step 5: Solve for x
    x = 2,414,835,192,676/972,744
  6. Step 6: Final answer
    x = 2,482,498.16

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.