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Finding the Third Proportional to 948,720 and 2,074,416

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Solution

The third proportional to 948,720 and 2,074,416 is: 4,535,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,720 : 2,074,416 = 2,074,416 : x
  2. Step 2: Convert to fraction form
    948,720/2,074,416 = 2,074,416/x
  3. Step 3: Cross multiply
    948,720x = 2,074,416 × 2,074,416
  4. Step 4: Simplify right side
    948,720x = 4,303,201,741,056
  5. Step 5: Solve for x
    x = 4,303,201,741,056/948,720
  6. Step 6: Final answer
    x = 4,535,797.43

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Why These Related Problems?

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