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Finding the Third Proportional to 666,697.50 and 1,437,642

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Solution

The third proportional to 666,697.50 and 1,437,642 is: 3,100,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,697.50 : 1,437,642 = 1,437,642 : x
  2. Step 2: Convert to fraction form
    666,697.50/1,437,642 = 1,437,642/x
  3. Step 3: Cross multiply
    666,697.50x = 1,437,642 × 1,437,642
  4. Step 4: Simplify right side
    666,697.50x = 2,066,814,520,164
  5. Step 5: Solve for x
    x = 2,066,814,520,164/666,697.50
  6. Step 6: Final answer
    x = 3,100,078.40

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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.