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Finding the Third Proportional to 1,011,345.75 and 2,172,771

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Solution

The third proportional to 1,011,345.75 and 2,172,771 is: 4,667,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,345.75 : 2,172,771 = 2,172,771 : x
  2. Step 2: Convert to fraction form
    1,011,345.75/2,172,771 = 2,172,771/x
  3. Step 3: Cross multiply
    1,011,345.75x = 2,172,771 × 2,172,771
  4. Step 4: Simplify right side
    1,011,345.75x = 4,720,933,818,441
  5. Step 5: Solve for x
    x = 4,720,933,818,441/1,011,345.75
  6. Step 6: Final answer
    x = 4,667,972.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.