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Finding the Third Proportional to 2,145,348 and 3,180,910

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Solution

The third proportional to 2,145,348 and 3,180,910 is: 4,716,338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,348 : 3,180,910 = 3,180,910 : x
  2. Step 2: Convert to fraction form
    2,145,348/3,180,910 = 3,180,910/x
  3. Step 3: Cross multiply
    2,145,348x = 3,180,910 × 3,180,910
  4. Step 4: Simplify right side
    2,145,348x = 10,118,188,428,100
  5. Step 5: Solve for x
    x = 10,118,188,428,100/2,145,348
  6. Step 6: Final answer
    x = 4,716,338.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.