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Finding the Third Proportional to 2,823,844 and 4,320,572

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Solution

The third proportional to 2,823,844 and 4,320,572 is: 6,610,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,823,844 : 4,320,572 = 4,320,572 : x
  2. Step 2: Convert to fraction form
    2,823,844/4,320,572 = 4,320,572/x
  3. Step 3: Cross multiply
    2,823,844x = 4,320,572 × 4,320,572
  4. Step 4: Simplify right side
    2,823,844x = 18,667,342,407,184
  5. Step 5: Solve for x
    x = 18,667,342,407,184/2,823,844
  6. Step 6: Final answer
    x = 6,610,613.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.