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Finding the Third Proportional to 725,727.09 and 1,537,977.38

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Solution

The third proportional to 725,727.09 and 1,537,977.38 is: 3,259,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,727.09 : 1,537,977.38 = 1,537,977.38 : x
  2. Step 2: Convert to fraction form
    725,727.09/1,537,977.38 = 1,537,977.38/x
  3. Step 3: Cross multiply
    725,727.09x = 1,537,977.38 × 1,537,977.38
  4. Step 4: Simplify right side
    725,727.09x = 2,365,374,406,011.89
  5. Step 5: Solve for x
    x = 2,365,374,406,011.89/725,727.09
  6. Step 6: Final answer
    x = 3,259,316.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.