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Finding the Third Proportional to 1,394,020.13 and 2,037,514.50

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Solution

The third proportional to 1,394,020.13 and 2,037,514.50 is: 2,978,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,020.13 : 2,037,514.50 = 2,037,514.50 : x
  2. Step 2: Convert to fraction form
    1,394,020.13/2,037,514.50 = 2,037,514.50/x
  3. Step 3: Cross multiply
    1,394,020.13x = 2,037,514.50 × 2,037,514.50
  4. Step 4: Simplify right side
    1,394,020.13x = 4,151,465,337,710.25
  5. Step 5: Solve for x
    x = 4,151,465,337,710.25/1,394,020.13
  6. Step 6: Final answer
    x = 2,978,052.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.