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Finding the Third Proportional to 945,199 and 1,452,837

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Solution

The third proportional to 945,199 and 1,452,837 is: 2,233,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,199 : 1,452,837 = 1,452,837 : x
  2. Step 2: Convert to fraction form
    945,199/1,452,837 = 1,452,837/x
  3. Step 3: Cross multiply
    945,199x = 1,452,837 × 1,452,837
  4. Step 4: Simplify right side
    945,199x = 2,110,735,348,569
  5. Step 5: Solve for x
    x = 2,110,735,348,569/945,199
  6. Step 6: Final answer
    x = 2,233,112.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.