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Finding the Third Proportional to 1,272,658.50 and 1,780,194.38

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Solution

The third proportional to 1,272,658.50 and 1,780,194.38 is: 2,490,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,658.50 : 1,780,194.38 = 1,780,194.38 : x
  2. Step 2: Convert to fraction form
    1,272,658.50/1,780,194.38 = 1,780,194.38/x
  3. Step 3: Cross multiply
    1,272,658.50x = 1,780,194.38 × 1,780,194.38
  4. Step 4: Simplify right side
    1,272,658.50x = 3,169,092,012,781.64
  5. Step 5: Solve for x
    x = 3,169,092,012,781.64/1,272,658.50
  6. Step 6: Final answer
    x = 2,490,135.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.