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Finding the Third Proportional to 952,560 and 1,473,632

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Solution

The third proportional to 952,560 and 1,473,632 is: 2,279,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,560 : 1,473,632 = 1,473,632 : x
  2. Step 2: Convert to fraction form
    952,560/1,473,632 = 1,473,632/x
  3. Step 3: Cross multiply
    952,560x = 1,473,632 × 1,473,632
  4. Step 4: Simplify right side
    952,560x = 2,171,591,271,424
  5. Step 5: Solve for x
    x = 2,171,591,271,424/952,560
  6. Step 6: Final answer
    x = 2,279,742.24

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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.