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Finding the Third Proportional to 525,871,218 and 820,642,096

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Solution

The third proportional to 525,871,218 and 820,642,096 is: 1,280,643,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,871,218 : 820,642,096 = 820,642,096 : x
  2. Step 2: Convert to fraction form
    525,871,218/820,642,096 = 820,642,096/x
  3. Step 3: Cross multiply
    525,871,218x = 820,642,096 × 820,642,096
  4. Step 4: Simplify right side
    525,871,218x = 673,453,449,727,273,216
  5. Step 5: Solve for x
    x = 673,453,449,727,273,216/525,871,218
  6. Step 6: Final answer
    x = 1,280,643,295.69

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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.