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Finding the Third Proportional to 923,560 and 2,021,073

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Solution

The third proportional to 923,560 and 2,021,073 is: 4,422,816.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,560 : 2,021,073 = 2,021,073 : x
  2. Step 2: Convert to fraction form
    923,560/2,021,073 = 2,021,073/x
  3. Step 3: Cross multiply
    923,560x = 2,021,073 × 2,021,073
  4. Step 4: Simplify right side
    923,560x = 4,084,736,071,329
  5. Step 5: Solve for x
    x = 4,084,736,071,329/923,560
  6. Step 6: Final answer
    x = 4,422,816.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.