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Finding the Third Proportional to 1,957,780.13 and 4,204,758.09

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Solution

The third proportional to 1,957,780.13 and 4,204,758.09 is: 9,030,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957,780.13 : 4,204,758.09 = 4,204,758.09 : x
  2. Step 2: Convert to fraction form
    1,957,780.13/4,204,758.09 = 4,204,758.09/x
  3. Step 3: Cross multiply
    1,957,780.13x = 4,204,758.09 × 4,204,758.09
  4. Step 4: Simplify right side
    1,957,780.13x = 17,679,990,626,956.13
  5. Step 5: Solve for x
    x = 17,679,990,626,956.13/1,957,780.13
  6. Step 6: Final answer
    x = 9,030,631.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.