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Finding the Third Proportional to 491,321 and 1,041,689

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Solution

The third proportional to 491,321 and 1,041,689 is: 2,208,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,321 : 1,041,689 = 1,041,689 : x
  2. Step 2: Convert to fraction form
    491,321/1,041,689 = 1,041,689/x
  3. Step 3: Cross multiply
    491,321x = 1,041,689 × 1,041,689
  4. Step 4: Simplify right side
    491,321x = 1,085,115,972,721
  5. Step 5: Solve for x
    x = 1,085,115,972,721/491,321
  6. Step 6: Final answer
    x = 2,208,568.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.