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Finding the Third Proportional to 413,899,162 and 649,286,550

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Solution

The third proportional to 413,899,162 and 649,286,550 is: 1,018,540,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,899,162 : 649,286,550 = 649,286,550 : x
  2. Step 2: Convert to fraction form
    413,899,162/649,286,550 = 649,286,550/x
  3. Step 3: Cross multiply
    413,899,162x = 649,286,550 × 649,286,550
  4. Step 4: Simplify right side
    413,899,162x = 421,573,024,010,902,528
  5. Step 5: Solve for x
    x = 421,573,024,010,902,528/413,899,162
  6. Step 6: Final answer
    x = 1,018,540,414.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.