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Finding the Third Proportional to 479,412 and 1,042,470

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Solution

The third proportional to 479,412 and 1,042,470 is: 2,266,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,412 : 1,042,470 = 1,042,470 : x
  2. Step 2: Convert to fraction form
    479,412/1,042,470 = 1,042,470/x
  3. Step 3: Cross multiply
    479,412x = 1,042,470 × 1,042,470
  4. Step 4: Simplify right side
    479,412x = 1,086,743,700,900
  5. Step 5: Solve for x
    x = 1,086,743,700,900/479,412
  6. Step 6: Final answer
    x = 2,266,826.24

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.