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Finding the Third Proportional to 691,162.88 and 1,437,486.75

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Solution

The third proportional to 691,162.88 and 1,437,486.75 is: 2,989,697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,162.88 : 1,437,486.75 = 1,437,486.75 : x
  2. Step 2: Convert to fraction form
    691,162.88/1,437,486.75 = 1,437,486.75/x
  3. Step 3: Cross multiply
    691,162.88x = 1,437,486.75 × 1,437,486.75
  4. Step 4: Simplify right side
    691,162.88x = 2,066,368,156,425.56
  5. Step 5: Solve for x
    x = 2,066,368,156,425.56/691,162.88
  6. Step 6: Final answer
    x = 2,989,697.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.