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Finding the Third Proportional to 462,449 and 1,008,934

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Solution

The third proportional to 462,449 and 1,008,934 is: 2,201,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,449 : 1,008,934 = 1,008,934 : x
  2. Step 2: Convert to fraction form
    462,449/1,008,934 = 1,008,934/x
  3. Step 3: Cross multiply
    462,449x = 1,008,934 × 1,008,934
  4. Step 4: Simplify right side
    462,449x = 1,017,947,816,356
  5. Step 5: Solve for x
    x = 1,017,947,816,356/462,449
  6. Step 6: Final answer
    x = 2,201,210.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.