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Finding the Third Proportional to 483,721 and 1,129,567

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Solution

The third proportional to 483,721 and 1,129,567 is: 2,637,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,721 : 1,129,567 = 1,129,567 : x
  2. Step 2: Convert to fraction form
    483,721/1,129,567 = 1,129,567/x
  3. Step 3: Cross multiply
    483,721x = 1,129,567 × 1,129,567
  4. Step 4: Simplify right side
    483,721x = 1,275,921,607,489
  5. Step 5: Solve for x
    x = 1,275,921,607,489/483,721
  6. Step 6: Final answer
    x = 2,637,722.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.