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Finding the Third Proportional to 3,263,499 and 4,587,610.50

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Solution

The third proportional to 3,263,499 and 4,587,610.50 is: 6,448,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,263,499 : 4,587,610.50 = 4,587,610.50 : x
  2. Step 2: Convert to fraction form
    3,263,499/4,587,610.50 = 4,587,610.50/x
  3. Step 3: Cross multiply
    3,263,499x = 4,587,610.50 × 4,587,610.50
  4. Step 4: Simplify right side
    3,263,499x = 21,046,170,099,710.25
  5. Step 5: Solve for x
    x = 21,046,170,099,710.25/3,263,499
  6. Step 6: Final answer
    x = 6,448,958.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.