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Finding the Third Proportional to 486,352.13 and 1,063,009.13

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Solution

The third proportional to 486,352.13 and 1,063,009.13 is: 2,323,395.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,352.13 : 1,063,009.13 = 1,063,009.13 : x
  2. Step 2: Convert to fraction form
    486,352.13/1,063,009.13 = 1,063,009.13/x
  3. Step 3: Cross multiply
    486,352.13x = 1,063,009.13 × 1,063,009.13
  4. Step 4: Simplify right side
    486,352.13x = 1,129,988,399,833.27
  5. Step 5: Solve for x
    x = 1,129,988,399,833.27/486,352.13
  6. Step 6: Final answer
    x = 2,323,395.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.