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Finding the Third Proportional to 467,982 and 1,010,685

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Solution

The third proportional to 467,982 and 1,010,685 is: 2,182,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,982 : 1,010,685 = 1,010,685 : x
  2. Step 2: Convert to fraction form
    467,982/1,010,685 = 1,010,685/x
  3. Step 3: Cross multiply
    467,982x = 1,010,685 × 1,010,685
  4. Step 4: Simplify right side
    467,982x = 1,021,484,169,225
  5. Step 5: Solve for x
    x = 1,021,484,169,225/467,982
  6. Step 6: Final answer
    x = 2,182,742.43

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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.