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Finding the Third Proportional to 822,384 and 1,270,928

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Solution

The third proportional to 822,384 and 1,270,928 is: 1,964,116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,384 : 1,270,928 = 1,270,928 : x
  2. Step 2: Convert to fraction form
    822,384/1,270,928 = 1,270,928/x
  3. Step 3: Cross multiply
    822,384x = 1,270,928 × 1,270,928
  4. Step 4: Simplify right side
    822,384x = 1,615,257,981,184
  5. Step 5: Solve for x
    x = 1,615,257,981,184/822,384
  6. Step 6: Final answer
    x = 1,964,116.50

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