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Finding the Third Proportional to 861,009.75 and 1,792,831.22

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Solution

The third proportional to 861,009.75 and 1,792,831.22 is: 3,733,109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,009.75 : 1,792,831.22 = 1,792,831.22 : x
  2. Step 2: Convert to fraction form
    861,009.75/1,792,831.22 = 1,792,831.22/x
  3. Step 3: Cross multiply
    861,009.75x = 1,792,831.22 × 1,792,831.22
  4. Step 4: Simplify right side
    861,009.75x = 3,214,243,778,924.61
  5. Step 5: Solve for x
    x = 3,214,243,778,924.61/861,009.75
  6. Step 6: Final answer
    x = 3,733,109.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.