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Finding the Third Proportional to 822,473 and 1,226,864

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Solution

The third proportional to 822,473 and 1,226,864 is: 1,830,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,473 : 1,226,864 = 1,226,864 : x
  2. Step 2: Convert to fraction form
    822,473/1,226,864 = 1,226,864/x
  3. Step 3: Cross multiply
    822,473x = 1,226,864 × 1,226,864
  4. Step 4: Simplify right side
    822,473x = 1,505,195,274,496
  5. Step 5: Solve for x
    x = 1,505,195,274,496/822,473
  6. Step 6: Final answer
    x = 1,830,084.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.