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Finding the Third Proportional to 2,289,387 and 4,972,416

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Solution

The third proportional to 2,289,387 and 4,972,416 is: 10,799,799.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,387 : 4,972,416 = 4,972,416 : x
  2. Step 2: Convert to fraction form
    2,289,387/4,972,416 = 4,972,416/x
  3. Step 3: Cross multiply
    2,289,387x = 4,972,416 × 4,972,416
  4. Step 4: Simplify right side
    2,289,387x = 24,724,920,877,056
  5. Step 5: Solve for x
    x = 24,724,920,877,056/2,289,387
  6. Step 6: Final answer
    x = 10,799,799.63

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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.