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Finding the Third Proportional to 819,101 and 1,282,128

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Solution

The third proportional to 819,101 and 1,282,128 is: 2,006,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,101 : 1,282,128 = 1,282,128 : x
  2. Step 2: Convert to fraction form
    819,101/1,282,128 = 1,282,128/x
  3. Step 3: Cross multiply
    819,101x = 1,282,128 × 1,282,128
  4. Step 4: Simplify right side
    819,101x = 1,643,852,208,384
  5. Step 5: Solve for x
    x = 1,643,852,208,384/819,101
  6. Step 6: Final answer
    x = 2,006,898.06

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