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Finding the Third Proportional to 767,832 and 1,675,416

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Solution

The third proportional to 767,832 and 1,675,416 is: 3,655,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,832 : 1,675,416 = 1,675,416 : x
  2. Step 2: Convert to fraction form
    767,832/1,675,416 = 1,675,416/x
  3. Step 3: Cross multiply
    767,832x = 1,675,416 × 1,675,416
  4. Step 4: Simplify right side
    767,832x = 2,807,018,773,056
  5. Step 5: Solve for x
    x = 2,807,018,773,056/767,832
  6. Step 6: Final answer
    x = 3,655,772.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.