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Finding the Third Proportional to 817,264 and 1,268,664

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Solution

The third proportional to 817,264 and 1,268,664 is: 1,969,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,264 : 1,268,664 = 1,268,664 : x
  2. Step 2: Convert to fraction form
    817,264/1,268,664 = 1,268,664/x
  3. Step 3: Cross multiply
    817,264x = 1,268,664 × 1,268,664
  4. Step 4: Simplify right side
    817,264x = 1,609,508,344,896
  5. Step 5: Solve for x
    x = 1,609,508,344,896/817,264
  6. Step 6: Final answer
    x = 1,969,386.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.