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Finding the Third Proportional to 1,266,209.72 and 1,895,835.38

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Solution

The third proportional to 1,266,209.72 and 1,895,835.38 is: 2,838,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266,209.72 : 1,895,835.38 = 1,895,835.38 : x
  2. Step 2: Convert to fraction form
    1,266,209.72/1,895,835.38 = 1,895,835.38/x
  3. Step 3: Cross multiply
    1,266,209.72x = 1,895,835.38 × 1,895,835.38
  4. Step 4: Simplify right side
    1,266,209.72x = 3,594,191,769,101.39
  5. Step 5: Solve for x
    x = 3,594,191,769,101.39/1,266,209.72
  6. Step 6: Final answer
    x = 2,838,543.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.