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Finding the Third Proportional to 945,378 and 1,466,272.13

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Solution

The third proportional to 945,378 and 1,466,272.13 is: 2,274,173.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,378 : 1,466,272.13 = 1,466,272.13 : x
  2. Step 2: Convert to fraction form
    945,378/1,466,272.13 = 1,466,272.13/x
  3. Step 3: Cross multiply
    945,378x = 1,466,272.13 × 1,466,272.13
  4. Step 4: Simplify right side
    945,378x = 2,149,953,944,552.02
  5. Step 5: Solve for x
    x = 2,149,953,944,552.02/945,378
  6. Step 6: Final answer
    x = 2,274,173.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.