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Finding the Third Proportional to 1,986,814.50 and 4,291,221

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Solution

The third proportional to 1,986,814.50 and 4,291,221 is: 9,268,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986,814.50 : 4,291,221 = 4,291,221 : x
  2. Step 2: Convert to fraction form
    1,986,814.50/4,291,221 = 4,291,221/x
  3. Step 3: Cross multiply
    1,986,814.50x = 4,291,221 × 4,291,221
  4. Step 4: Simplify right side
    1,986,814.50x = 18,414,577,670,841
  5. Step 5: Solve for x
    x = 18,414,577,670,841/1,986,814.50
  6. Step 6: Final answer
    x = 9,268,393.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.