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Finding the Third Proportional to 972,337 and 1,471,920

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Solution

The third proportional to 972,337 and 1,471,920 is: 2,228,186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,337 : 1,471,920 = 1,471,920 : x
  2. Step 2: Convert to fraction form
    972,337/1,471,920 = 1,471,920/x
  3. Step 3: Cross multiply
    972,337x = 1,471,920 × 1,471,920
  4. Step 4: Simplify right side
    972,337x = 2,166,548,486,400
  5. Step 5: Solve for x
    x = 2,166,548,486,400/972,337
  6. Step 6: Final answer
    x = 2,228,186.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.