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Finding the Third Proportional to 568,701.84 and 1,237,831.03

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Solution

The third proportional to 568,701.84 and 1,237,831.03 is: 2,694,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,701.84 : 1,237,831.03 = 1,237,831.03 : x
  2. Step 2: Convert to fraction form
    568,701.84/1,237,831.03 = 1,237,831.03/x
  3. Step 3: Cross multiply
    568,701.84x = 1,237,831.03 × 1,237,831.03
  4. Step 4: Simplify right side
    568,701.84x = 1,532,225,661,925.44
  5. Step 5: Solve for x
    x = 1,532,225,661,925.44/568,701.84
  6. Step 6: Final answer
    x = 2,694,251.26

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.