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Finding the Third Proportional to 467,863 and 1,010,395

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Solution

The third proportional to 467,863 and 1,010,395 is: 2,182,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,863 : 1,010,395 = 1,010,395 : x
  2. Step 2: Convert to fraction form
    467,863/1,010,395 = 1,010,395/x
  3. Step 3: Cross multiply
    467,863x = 1,010,395 × 1,010,395
  4. Step 4: Simplify right side
    467,863x = 1,020,898,056,025
  5. Step 5: Solve for x
    x = 1,020,898,056,025/467,863
  6. Step 6: Final answer
    x = 2,182,044.86

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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.