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Finding the Third Proportional to 754,946 and 1,649,908

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Solution

The third proportional to 754,946 and 1,649,908 is: 3,605,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,946 : 1,649,908 = 1,649,908 : x
  2. Step 2: Convert to fraction form
    754,946/1,649,908 = 1,649,908/x
  3. Step 3: Cross multiply
    754,946x = 1,649,908 × 1,649,908
  4. Step 4: Simplify right side
    754,946x = 2,722,196,408,464
  5. Step 5: Solve for x
    x = 2,722,196,408,464/754,946
  6. Step 6: Final answer
    x = 3,605,816.06

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.