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Finding the Third Proportional to 749,847 and 1,619,466

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Solution

The third proportional to 749,847 and 1,619,466 is: 3,497,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,847 : 1,619,466 = 1,619,466 : x
  2. Step 2: Convert to fraction form
    749,847/1,619,466 = 1,619,466/x
  3. Step 3: Cross multiply
    749,847x = 1,619,466 × 1,619,466
  4. Step 4: Simplify right side
    749,847x = 2,622,670,125,156
  5. Step 5: Solve for x
    x = 2,622,670,125,156/749,847
  6. Step 6: Final answer
    x = 3,497,607.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.