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Finding the Third Proportional to 502,614 and 1,019,808

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Solution

The third proportional to 502,614 and 1,019,808 is: 2,069,198.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,614 : 1,019,808 = 1,019,808 : x
  2. Step 2: Convert to fraction form
    502,614/1,019,808 = 1,019,808/x
  3. Step 3: Cross multiply
    502,614x = 1,019,808 × 1,019,808
  4. Step 4: Simplify right side
    502,614x = 1,040,008,356,864
  5. Step 5: Solve for x
    x = 1,040,008,356,864/502,614
  6. Step 6: Final answer
    x = 2,069,198.94

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.