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Finding the Third Proportional to 1,938,821 and 2,960,720

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Solution

The third proportional to 1,938,821 and 2,960,720 is: 4,521,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,821 : 2,960,720 = 2,960,720 : x
  2. Step 2: Convert to fraction form
    1,938,821/2,960,720 = 2,960,720/x
  3. Step 3: Cross multiply
    1,938,821x = 2,960,720 × 2,960,720
  4. Step 4: Simplify right side
    1,938,821x = 8,765,862,918,400
  5. Step 5: Solve for x
    x = 8,765,862,918,400/1,938,821
  6. Step 6: Final answer
    x = 4,521,233.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.