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Finding the Third Proportional to 913,612.50 and 1,277,247.75

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Solution

The third proportional to 913,612.50 and 1,277,247.75 is: 1,785,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,612.50 : 1,277,247.75 = 1,277,247.75 : x
  2. Step 2: Convert to fraction form
    913,612.50/1,277,247.75 = 1,277,247.75/x
  3. Step 3: Cross multiply
    913,612.50x = 1,277,247.75 × 1,277,247.75
  4. Step 4: Simplify right side
    913,612.50x = 1,631,361,814,880.06
  5. Step 5: Solve for x
    x = 1,631,361,814,880.06/913,612.50
  6. Step 6: Final answer
    x = 1,785,616.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.