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Finding the Third Proportional to 768,338.25 and 1,127,596.13

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Solution

The third proportional to 768,338.25 and 1,127,596.13 is: 1,654,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,338.25 : 1,127,596.13 = 1,127,596.13 : x
  2. Step 2: Convert to fraction form
    768,338.25/1,127,596.13 = 1,127,596.13/x
  3. Step 3: Cross multiply
    768,338.25x = 1,127,596.13 × 1,127,596.13
  4. Step 4: Simplify right side
    768,338.25x = 1,271,473,021,115.02
  5. Step 5: Solve for x
    x = 1,271,473,021,115.02/768,338.25
  6. Step 6: Final answer
    x = 1,654,834.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.