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Finding the Third Proportional to 788,073.75 and 1,248,086.25

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Solution

The third proportional to 788,073.75 and 1,248,086.25 is: 1,976,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,073.75 : 1,248,086.25 = 1,248,086.25 : x
  2. Step 2: Convert to fraction form
    788,073.75/1,248,086.25 = 1,248,086.25/x
  3. Step 3: Cross multiply
    788,073.75x = 1,248,086.25 × 1,248,086.25
  4. Step 4: Simplify right side
    788,073.75x = 1,557,719,287,439.06
  5. Step 5: Solve for x
    x = 1,557,719,287,439.06/788,073.75
  6. Step 6: Final answer
    x = 1,976,616.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.