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Finding the Third Proportional to 819,098 and 1,282,121

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Solution

The third proportional to 819,098 and 1,282,121 is: 2,006,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,098 : 1,282,121 = 1,282,121 : x
  2. Step 2: Convert to fraction form
    819,098/1,282,121 = 1,282,121/x
  3. Step 3: Cross multiply
    819,098x = 1,282,121 × 1,282,121
  4. Step 4: Simplify right side
    819,098x = 1,643,834,258,641
  5. Step 5: Solve for x
    x = 1,643,834,258,641/819,098
  6. Step 6: Final answer
    x = 2,006,883.50

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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.