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Finding the Third Proportional to 769,491.75 and 1,674,432

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Solution

The third proportional to 769,491.75 and 1,674,432 is: 3,643,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,491.75 : 1,674,432 = 1,674,432 : x
  2. Step 2: Convert to fraction form
    769,491.75/1,674,432 = 1,674,432/x
  3. Step 3: Cross multiply
    769,491.75x = 1,674,432 × 1,674,432
  4. Step 4: Simplify right side
    769,491.75x = 2,803,722,522,624
  5. Step 5: Solve for x
    x = 2,803,722,522,624/769,491.75
  6. Step 6: Final answer
    x = 3,643,603.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.