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Finding the Third Proportional to 591,688.13 and 1,278,001.13

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Solution

The third proportional to 591,688.13 and 1,278,001.13 is: 2,760,384.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,688.13 : 1,278,001.13 = 1,278,001.13 : x
  2. Step 2: Convert to fraction form
    591,688.13/1,278,001.13 = 1,278,001.13/x
  3. Step 3: Cross multiply
    591,688.13x = 1,278,001.13 × 1,278,001.13
  4. Step 4: Simplify right side
    591,688.13x = 1,633,286,875,501.27
  5. Step 5: Solve for x
    x = 1,633,286,875,501.27/591,688.13
  6. Step 6: Final answer
    x = 2,760,384.75

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.