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Finding the Third Proportional to 666,719.50 and 1,437,689

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Solution

The third proportional to 666,719.50 and 1,437,689 is: 3,100,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,719.50 : 1,437,689 = 1,437,689 : x
  2. Step 2: Convert to fraction form
    666,719.50/1,437,689 = 1,437,689/x
  3. Step 3: Cross multiply
    666,719.50x = 1,437,689 × 1,437,689
  4. Step 4: Simplify right side
    666,719.50x = 2,066,949,660,721
  5. Step 5: Solve for x
    x = 2,066,949,660,721/666,719.50
  6. Step 6: Final answer
    x = 3,100,178.80

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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.