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Finding the Third Proportional to 486,010.13 and 1,046,523.38

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Solution

The third proportional to 486,010.13 and 1,046,523.38 is: 2,253,473.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,010.13 : 1,046,523.38 = 1,046,523.38 : x
  2. Step 2: Convert to fraction form
    486,010.13/1,046,523.38 = 1,046,523.38/x
  3. Step 3: Cross multiply
    486,010.13x = 1,046,523.38 × 1,046,523.38
  4. Step 4: Simplify right side
    486,010.13x = 1,095,211,174,421.39
  5. Step 5: Solve for x
    x = 1,095,211,174,421.39/486,010.13
  6. Step 6: Final answer
    x = 2,253,473.99

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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.