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Finding the Third Proportional to 819,492 and 1,285,545

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Solution

The third proportional to 819,492 and 1,285,545 is: 2,016,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,492 : 1,285,545 = 1,285,545 : x
  2. Step 2: Convert to fraction form
    819,492/1,285,545 = 1,285,545/x
  3. Step 3: Cross multiply
    819,492x = 1,285,545 × 1,285,545
  4. Step 4: Simplify right side
    819,492x = 1,652,625,947,025
  5. Step 5: Solve for x
    x = 1,652,625,947,025/819,492
  6. Step 6: Final answer
    x = 2,016,646.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.