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Finding the Third Proportional to 476,781 and 1,010,424

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Solution

The third proportional to 476,781 and 1,010,424 is: 2,141,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,781 : 1,010,424 = 1,010,424 : x
  2. Step 2: Convert to fraction form
    476,781/1,010,424 = 1,010,424/x
  3. Step 3: Cross multiply
    476,781x = 1,010,424 × 1,010,424
  4. Step 4: Simplify right side
    476,781x = 1,020,956,659,776
  5. Step 5: Solve for x
    x = 1,020,956,659,776/476,781
  6. Step 6: Final answer
    x = 2,141,353.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.