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Finding the Third Proportional to 2,289,324 and 4,972,632

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Solution

The third proportional to 2,289,324 and 4,972,632 is: 10,801,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,324 : 4,972,632 = 4,972,632 : x
  2. Step 2: Convert to fraction form
    2,289,324/4,972,632 = 4,972,632/x
  3. Step 3: Cross multiply
    2,289,324x = 4,972,632 × 4,972,632
  4. Step 4: Simplify right side
    2,289,324x = 24,727,069,007,424
  5. Step 5: Solve for x
    x = 24,727,069,007,424/2,289,324
  6. Step 6: Final answer
    x = 10,801,035.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.