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Finding the Third Proportional to 497,493 and 1,169,376

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Solution

The third proportional to 497,493 and 1,169,376 is: 2,748,662.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,493 : 1,169,376 = 1,169,376 : x
  2. Step 2: Convert to fraction form
    497,493/1,169,376 = 1,169,376/x
  3. Step 3: Cross multiply
    497,493x = 1,169,376 × 1,169,376
  4. Step 4: Simplify right side
    497,493x = 1,367,440,229,376
  5. Step 5: Solve for x
    x = 1,367,440,229,376/497,493
  6. Step 6: Final answer
    x = 2,748,662.25

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.