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Finding the Third Proportional to 1,000,605 and 1,498,171.50

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Solution

The third proportional to 1,000,605 and 1,498,171.50 is: 2,243,160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,605 : 1,498,171.50 = 1,498,171.50 : x
  2. Step 2: Convert to fraction form
    1,000,605/1,498,171.50 = 1,498,171.50/x
  3. Step 3: Cross multiply
    1,000,605x = 1,498,171.50 × 1,498,171.50
  4. Step 4: Simplify right side
    1,000,605x = 2,244,517,843,412.25
  5. Step 5: Solve for x
    x = 2,244,517,843,412.25/1,000,605
  6. Step 6: Final answer
    x = 2,243,160.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.