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Finding the Third Proportional to 525,871,206 and 820,642,077

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Solution

The third proportional to 525,871,206 and 820,642,077 is: 1,280,643,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,871,206 : 820,642,077 = 820,642,077 : x
  2. Step 2: Convert to fraction form
    525,871,206/820,642,077 = 820,642,077/x
  3. Step 3: Cross multiply
    525,871,206x = 820,642,077 × 820,642,077
  4. Step 4: Simplify right side
    525,871,206x = 673,453,418,542,873,984
  5. Step 5: Solve for x
    x = 673,453,418,542,873,984/525,871,206
  6. Step 6: Final answer
    x = 1,280,643,265.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.