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Finding the Third Proportional to 1,363,750 and 2,871,275

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Solution

The third proportional to 1,363,750 and 2,871,275 is: 6,045,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,750 : 2,871,275 = 2,871,275 : x
  2. Step 2: Convert to fraction form
    1,363,750/2,871,275 = 2,871,275/x
  3. Step 3: Cross multiply
    1,363,750x = 2,871,275 × 2,871,275
  4. Step 4: Simplify right side
    1,363,750x = 8,244,220,125,625
  5. Step 5: Solve for x
    x = 8,244,220,125,625/1,363,750
  6. Step 6: Final answer
    x = 6,045,257.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.