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Finding the Third Proportional to 1,036,767 and 2,272,823

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Solution

The third proportional to 1,036,767 and 2,272,823 is: 4,982,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,767 : 2,272,823 = 2,272,823 : x
  2. Step 2: Convert to fraction form
    1,036,767/2,272,823 = 2,272,823/x
  3. Step 3: Cross multiply
    1,036,767x = 2,272,823 × 2,272,823
  4. Step 4: Simplify right side
    1,036,767x = 5,165,724,389,329
  5. Step 5: Solve for x
    x = 5,165,724,389,329/1,036,767
  6. Step 6: Final answer
    x = 4,982,531.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.