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Finding the Third Proportional to 1,421,250 and 2,186,769

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Solution

The third proportional to 1,421,250 and 2,186,769 is: 3,364,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421,250 : 2,186,769 = 2,186,769 : x
  2. Step 2: Convert to fraction form
    1,421,250/2,186,769 = 2,186,769/x
  3. Step 3: Cross multiply
    1,421,250x = 2,186,769 × 2,186,769
  4. Step 4: Simplify right side
    1,421,250x = 4,781,958,659,361
  5. Step 5: Solve for x
    x = 4,781,958,659,361/1,421,250
  6. Step 6: Final answer
    x = 3,364,614.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.