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Finding the Third Proportional to 1,768,846.50 and 2,805,408

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Solution

The third proportional to 1,768,846.50 and 2,805,408 is: 4,449,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768,846.50 : 2,805,408 = 2,805,408 : x
  2. Step 2: Convert to fraction form
    1,768,846.50/2,805,408 = 2,805,408/x
  3. Step 3: Cross multiply
    1,768,846.50x = 2,805,408 × 2,805,408
  4. Step 4: Simplify right side
    1,768,846.50x = 7,870,314,046,464
  5. Step 5: Solve for x
    x = 7,870,314,046,464/1,768,846.50
  6. Step 6: Final answer
    x = 4,449,404.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.