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Finding the Third Proportional to 1,247,842.97 and 2,684,831.06

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Solution

The third proportional to 1,247,842.97 and 2,684,831.06 is: 5,776,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,842.97 : 2,684,831.06 = 2,684,831.06 : x
  2. Step 2: Convert to fraction form
    1,247,842.97/2,684,831.06 = 2,684,831.06/x
  3. Step 3: Cross multiply
    1,247,842.97x = 2,684,831.06 × 2,684,831.06
  4. Step 4: Simplify right side
    1,247,842.97x = 7,208,317,834,164.88
  5. Step 5: Solve for x
    x = 7,208,317,834,164.88/1,247,842.97
  6. Step 6: Final answer
    x = 5,776,622.55

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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.