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Finding the Third Proportional to 438,170,264 and 682,380,928

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Solution

The third proportional to 438,170,264 and 682,380,928 is: 1,062,700,436.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,170,264 : 682,380,928 = 682,380,928 : x
  2. Step 2: Convert to fraction form
    438,170,264/682,380,928 = 682,380,928/x
  3. Step 3: Cross multiply
    438,170,264x = 682,380,928 × 682,380,928
  4. Step 4: Simplify right side
    438,170,264x = 465,643,730,898,141,184
  5. Step 5: Solve for x
    x = 465,643,730,898,141,184/438,170,264
  6. Step 6: Final answer
    x = 1,062,700,436.69

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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.