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Finding the Third Proportional to 2,358,196 and 5,052,812

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Solution

The third proportional to 2,358,196 and 5,052,812 is: 10,826,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,196 : 5,052,812 = 5,052,812 : x
  2. Step 2: Convert to fraction form
    2,358,196/5,052,812 = 5,052,812/x
  3. Step 3: Cross multiply
    2,358,196x = 5,052,812 × 5,052,812
  4. Step 4: Simplify right side
    2,358,196x = 25,530,909,107,344
  5. Step 5: Solve for x
    x = 25,530,909,107,344/2,358,196
  6. Step 6: Final answer
    x = 10,826,457.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.