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Finding the Third Proportional to 666,427.50 and 1,465,668

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Solution

The third proportional to 666,427.50 and 1,465,668 is: 3,223,430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,427.50 : 1,465,668 = 1,465,668 : x
  2. Step 2: Convert to fraction form
    666,427.50/1,465,668 = 1,465,668/x
  3. Step 3: Cross multiply
    666,427.50x = 1,465,668 × 1,465,668
  4. Step 4: Simplify right side
    666,427.50x = 2,148,182,686,224
  5. Step 5: Solve for x
    x = 2,148,182,686,224/666,427.50
  6. Step 6: Final answer
    x = 3,223,430.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.