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Finding the Third Proportional to 767,932 and 1,675,614

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Solution

The third proportional to 767,932 and 1,675,614 is: 3,656,160.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,932 : 1,675,614 = 1,675,614 : x
  2. Step 2: Convert to fraction form
    767,932/1,675,614 = 1,675,614/x
  3. Step 3: Cross multiply
    767,932x = 1,675,614 × 1,675,614
  4. Step 4: Simplify right side
    767,932x = 2,807,682,276,996
  5. Step 5: Solve for x
    x = 2,807,682,276,996/767,932
  6. Step 6: Final answer
    x = 3,656,160.02

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