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Finding the Third Proportional to 2,289,292 and 4,972,240

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Solution

The third proportional to 2,289,292 and 4,972,240 is: 10,799,483.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,292 : 4,972,240 = 4,972,240 : x
  2. Step 2: Convert to fraction form
    2,289,292/4,972,240 = 4,972,240/x
  3. Step 3: Cross multiply
    2,289,292x = 4,972,240 × 4,972,240
  4. Step 4: Simplify right side
    2,289,292x = 24,723,170,617,600
  5. Step 5: Solve for x
    x = 24,723,170,617,600/2,289,292
  6. Step 6: Final answer
    x = 10,799,483.25

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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.