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Finding the Third Proportional to 817,438.08 and 1,275,824.04

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Solution

The third proportional to 817,438.08 and 1,275,824.04 is: 1,991,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,438.08 : 1,275,824.04 = 1,275,824.04 : x
  2. Step 2: Convert to fraction form
    817,438.08/1,275,824.04 = 1,275,824.04/x
  3. Step 3: Cross multiply
    817,438.08x = 1,275,824.04 × 1,275,824.04
  4. Step 4: Simplify right side
    817,438.08x = 1,627,726,978,649.75
  5. Step 5: Solve for x
    x = 1,627,726,978,649.75/817,438.08
  6. Step 6: Final answer
    x = 1,991,254.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.