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Finding the Third Proportional to 512,678.50 and 1,121,847.50

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Solution

The third proportional to 512,678.50 and 1,121,847.50 is: 2,454,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,678.50 : 1,121,847.50 = 1,121,847.50 : x
  2. Step 2: Convert to fraction form
    512,678.50/1,121,847.50 = 1,121,847.50/x
  3. Step 3: Cross multiply
    512,678.50x = 1,121,847.50 × 1,121,847.50
  4. Step 4: Simplify right side
    512,678.50x = 1,258,541,813,256.25
  5. Step 5: Solve for x
    x = 1,258,541,813,256.25/512,678.50
  6. Step 6: Final answer
    x = 2,454,836.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.