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Finding the Third Proportional to 1,913,304 and 4,162,913

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Solution

The third proportional to 1,913,304 and 4,162,913 is: 9,057,548.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913,304 : 4,162,913 = 4,162,913 : x
  2. Step 2: Convert to fraction form
    1,913,304/4,162,913 = 4,162,913/x
  3. Step 3: Cross multiply
    1,913,304x = 4,162,913 × 4,162,913
  4. Step 4: Simplify right side
    1,913,304x = 17,329,844,645,569
  5. Step 5: Solve for x
    x = 17,329,844,645,569/1,913,304
  6. Step 6: Final answer
    x = 9,057,548.95

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Why These Related Problems?

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