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Finding the Third Proportional to 1,011,337.50 and 2,172,757.50

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Solution

The third proportional to 1,011,337.50 and 2,172,757.50 is: 4,667,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011,337.50 : 2,172,757.50 = 2,172,757.50 : x
  2. Step 2: Convert to fraction form
    1,011,337.50/2,172,757.50 = 2,172,757.50/x
  3. Step 3: Cross multiply
    1,011,337.50x = 2,172,757.50 × 2,172,757.50
  4. Step 4: Simplify right side
    1,011,337.50x = 4,720,875,153,806.25
  5. Step 5: Solve for x
    x = 4,720,875,153,806.25/1,011,337.50
  6. Step 6: Final answer
    x = 4,667,952.25

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