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Finding the Third Proportional to 510,736,586 and 792,453,219

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Solution

The third proportional to 510,736,586 and 792,453,219 is: 1,229,561,620.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,736,586 : 792,453,219 = 792,453,219 : x
  2. Step 2: Convert to fraction form
    510,736,586/792,453,219 = 792,453,219/x
  3. Step 3: Cross multiply
    510,736,586x = 792,453,219 × 792,453,219
  4. Step 4: Simplify right side
    510,736,586x = 627,982,104,303,462,016
  5. Step 5: Solve for x
    x = 627,982,104,303,462,016/510,736,586
  6. Step 6: Final answer
    x = 1,229,561,620.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.