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Finding the Third Proportional to 917,597 and 2,021,817

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Solution

The third proportional to 917,597 and 2,021,817 is: 4,454,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,597 : 2,021,817 = 2,021,817 : x
  2. Step 2: Convert to fraction form
    917,597/2,021,817 = 2,021,817/x
  3. Step 3: Cross multiply
    917,597x = 2,021,817 × 2,021,817
  4. Step 4: Simplify right side
    917,597x = 4,087,743,981,489
  5. Step 5: Solve for x
    x = 4,087,743,981,489/917,597
  6. Step 6: Final answer
    x = 4,454,835.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.