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Finding the Third Proportional to 923,885 and 1,975,447

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Solution

The third proportional to 923,885 and 1,975,447 is: 4,223,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,885 : 1,975,447 = 1,975,447 : x
  2. Step 2: Convert to fraction form
    923,885/1,975,447 = 1,975,447/x
  3. Step 3: Cross multiply
    923,885x = 1,975,447 × 1,975,447
  4. Step 4: Simplify right side
    923,885x = 3,902,390,849,809
  5. Step 5: Solve for x
    x = 3,902,390,849,809/923,885
  6. Step 6: Final answer
    x = 4,223,892.42

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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.