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Finding the Third Proportional to 2,289,444 and 4,972,224

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Solution

The third proportional to 2,289,444 and 4,972,224 is: 10,798,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289,444 : 4,972,224 = 4,972,224 : x
  2. Step 2: Convert to fraction form
    2,289,444/4,972,224 = 4,972,224/x
  3. Step 3: Cross multiply
    2,289,444x = 4,972,224 × 4,972,224
  4. Step 4: Simplify right side
    2,289,444x = 24,723,011,506,176
  5. Step 5: Solve for x
    x = 24,723,011,506,176/2,289,444
  6. Step 6: Final answer
    x = 10,798,696.76

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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.