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Finding the Third Proportional to 476,663.48 and 986,319.91

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Solution

The third proportional to 476,663.48 and 986,319.91 is: 2,040,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,663.48 : 986,319.91 = 986,319.91 : x
  2. Step 2: Convert to fraction form
    476,663.48/986,319.91 = 986,319.91/x
  3. Step 3: Cross multiply
    476,663.48x = 986,319.91 × 986,319.91
  4. Step 4: Simplify right side
    476,663.48x = 972,826,972,876.26
  5. Step 5: Solve for x
    x = 972,826,972,876.26/476,663.48
  6. Step 6: Final answer
    x = 2,040,909.37

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.