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Finding the Third Proportional to 923,883 and 1,975,443

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Solution

The third proportional to 923,883 and 1,975,443 is: 4,223,884.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,883 : 1,975,443 = 1,975,443 : x
  2. Step 2: Convert to fraction form
    923,883/1,975,443 = 1,975,443/x
  3. Step 3: Cross multiply
    923,883x = 1,975,443 × 1,975,443
  4. Step 4: Simplify right side
    923,883x = 3,902,375,046,249
  5. Step 5: Solve for x
    x = 3,902,375,046,249/923,883
  6. Step 6: Final answer
    x = 4,223,884.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.