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Finding the Third Proportional to 1,016,834 and 1,394,304

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Solution

The third proportional to 1,016,834 and 1,394,304 is: 1,911,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,834 : 1,394,304 = 1,394,304 : x
  2. Step 2: Convert to fraction form
    1,016,834/1,394,304 = 1,394,304/x
  3. Step 3: Cross multiply
    1,016,834x = 1,394,304 × 1,394,304
  4. Step 4: Simplify right side
    1,016,834x = 1,944,083,644,416
  5. Step 5: Solve for x
    x = 1,944,083,644,416/1,016,834
  6. Step 6: Final answer
    x = 1,911,898.74

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.