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Finding the Third Proportional to 817,008 and 1,176,744

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Solution

The third proportional to 817,008 and 1,176,744 is: 1,694,875.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,008 : 1,176,744 = 1,176,744 : x
  2. Step 2: Convert to fraction form
    817,008/1,176,744 = 1,176,744/x
  3. Step 3: Cross multiply
    817,008x = 1,176,744 × 1,176,744
  4. Step 4: Simplify right side
    817,008x = 1,384,726,441,536
  5. Step 5: Solve for x
    x = 1,384,726,441,536/817,008
  6. Step 6: Final answer
    x = 1,694,875.01

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.