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Finding the Third Proportional to 2,301,458 and 3,452,190

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Solution

The third proportional to 2,301,458 and 3,452,190 is: 5,178,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,458 : 3,452,190 = 3,452,190 : x
  2. Step 2: Convert to fraction form
    2,301,458/3,452,190 = 3,452,190/x
  3. Step 3: Cross multiply
    2,301,458x = 3,452,190 × 3,452,190
  4. Step 4: Simplify right side
    2,301,458x = 11,917,615,796,100
  5. Step 5: Solve for x
    x = 11,917,615,796,100/2,301,458
  6. Step 6: Final answer
    x = 5,178,289.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.