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Finding the Third Proportional to 810,668 and 1,807,744

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Solution

The third proportional to 810,668 and 1,807,744 is: 4,031,167.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,668 : 1,807,744 = 1,807,744 : x
  2. Step 2: Convert to fraction form
    810,668/1,807,744 = 1,807,744/x
  3. Step 3: Cross multiply
    810,668x = 1,807,744 × 1,807,744
  4. Step 4: Simplify right side
    810,668x = 3,267,938,369,536
  5. Step 5: Solve for x
    x = 3,267,938,369,536/810,668
  6. Step 6: Final answer
    x = 4,031,167.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.