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Finding the Third Proportional to 1,014,304 and 2,141,783

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Solution

The third proportional to 1,014,304 and 2,141,783 is: 4,522,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,304 : 2,141,783 = 2,141,783 : x
  2. Step 2: Convert to fraction form
    1,014,304/2,141,783 = 2,141,783/x
  3. Step 3: Cross multiply
    1,014,304x = 2,141,783 × 2,141,783
  4. Step 4: Simplify right side
    1,014,304x = 4,587,234,419,089
  5. Step 5: Solve for x
    x = 4,587,234,419,089/1,014,304
  6. Step 6: Final answer
    x = 4,522,543.95

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.