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Finding the Third Proportional to 497,990 and 1,080,423

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Solution

The third proportional to 497,990 and 1,080,423 is: 2,344,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,990 : 1,080,423 = 1,080,423 : x
  2. Step 2: Convert to fraction form
    497,990/1,080,423 = 1,080,423/x
  3. Step 3: Cross multiply
    497,990x = 1,080,423 × 1,080,423
  4. Step 4: Simplify right side
    497,990x = 1,167,313,858,929
  5. Step 5: Solve for x
    x = 1,167,313,858,929/497,990
  6. Step 6: Final answer
    x = 2,344,050.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.