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Finding the Third Proportional to 1,938,822 and 2,960,721

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Solution

The third proportional to 1,938,822 and 2,960,721 is: 4,521,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938,822 : 2,960,721 = 2,960,721 : x
  2. Step 2: Convert to fraction form
    1,938,822/2,960,721 = 2,960,721/x
  3. Step 3: Cross multiply
    1,938,822x = 2,960,721 × 2,960,721
  4. Step 4: Simplify right side
    1,938,822x = 8,765,868,839,841
  5. Step 5: Solve for x
    x = 8,765,868,839,841/1,938,822
  6. Step 6: Final answer
    x = 4,521,234.46

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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.