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Finding the Third Proportional to 510,358 and 1,192,051

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Solution

The third proportional to 510,358 and 1,192,051 is: 2,784,291.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,358 : 1,192,051 = 1,192,051 : x
  2. Step 2: Convert to fraction form
    510,358/1,192,051 = 1,192,051/x
  3. Step 3: Cross multiply
    510,358x = 1,192,051 × 1,192,051
  4. Step 4: Simplify right side
    510,358x = 1,420,985,586,601
  5. Step 5: Solve for x
    x = 1,420,985,586,601/510,358
  6. Step 6: Final answer
    x = 2,784,291.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.