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Finding the Third Proportional to 519,965,570 and 1,121,832,832

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Solution

The third proportional to 519,965,570 and 1,121,832,832 is: 2,420,369,685.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,965,570 : 1,121,832,832 = 1,121,832,832 : x
  2. Step 2: Convert to fraction form
    519,965,570/1,121,832,832 = 1,121,832,832/x
  3. Step 3: Cross multiply
    519,965,570x = 1,121,832,832 × 1,121,832,832
  4. Step 4: Simplify right side
    519,965,570x = 1,258,508,902,953,140,224
  5. Step 5: Solve for x
    x = 1,258,508,902,953,140,224/519,965,570
  6. Step 6: Final answer
    x = 2,420,369,685.16

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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.