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Finding the Third Proportional to 510,412,034 and 1,119,632,836

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Solution

The third proportional to 510,412,034 and 1,119,632,836 is: 2,456,011,230.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,412,034 : 1,119,632,836 = 1,119,632,836 : x
  2. Step 2: Convert to fraction form
    510,412,034/1,119,632,836 = 1,119,632,836/x
  3. Step 3: Cross multiply
    510,412,034x = 1,119,632,836 × 1,119,632,836
  4. Step 4: Simplify right side
    510,412,034x = 1,253,577,687,449,402,880
  5. Step 5: Solve for x
    x = 1,253,577,687,449,402,880/510,412,034
  6. Step 6: Final answer
    x = 2,456,011,230.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.