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Finding the Third Proportional to 468,802 and 1,010,612

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Solution

The third proportional to 468,802 and 1,010,612 is: 2,178,609.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,802 : 1,010,612 = 1,010,612 : x
  2. Step 2: Convert to fraction form
    468,802/1,010,612 = 1,010,612/x
  3. Step 3: Cross multiply
    468,802x = 1,010,612 × 1,010,612
  4. Step 4: Simplify right side
    468,802x = 1,021,336,614,544
  5. Step 5: Solve for x
    x = 1,021,336,614,544/468,802
  6. Step 6: Final answer
    x = 2,178,609.76

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.