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Finding the Third Proportional to 923,856 and 2,024,088

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Solution

The third proportional to 923,856 and 2,024,088 is: 4,434,600.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,856 : 2,024,088 = 2,024,088 : x
  2. Step 2: Convert to fraction form
    923,856/2,024,088 = 2,024,088/x
  3. Step 3: Cross multiply
    923,856x = 2,024,088 × 2,024,088
  4. Step 4: Simplify right side
    923,856x = 4,096,932,231,744
  5. Step 5: Solve for x
    x = 4,096,932,231,744/923,856
  6. Step 6: Final answer
    x = 4,434,600.45

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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.