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Finding the Third Proportional to 590,642,892 and 1,272,853,376

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Solution

The third proportional to 590,642,892 and 1,272,853,376 is: 2,743,037,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,642,892 : 1,272,853,376 = 1,272,853,376 : x
  2. Step 2: Convert to fraction form
    590,642,892/1,272,853,376 = 1,272,853,376/x
  3. Step 3: Cross multiply
    590,642,892x = 1,272,853,376 × 1,272,853,376
  4. Step 4: Simplify right side
    590,642,892x = 1,620,155,716,794,597,376
  5. Step 5: Solve for x
    x = 1,620,155,716,794,597,376/590,642,892
  6. Step 6: Final answer
    x = 2,743,037,694.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.