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Finding the Third Proportional to 920,772 and 2,012,328

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Solution

The third proportional to 920,772 and 2,012,328 is: 4,397,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,772 : 2,012,328 = 2,012,328 : x
  2. Step 2: Convert to fraction form
    920,772/2,012,328 = 2,012,328/x
  3. Step 3: Cross multiply
    920,772x = 2,012,328 × 2,012,328
  4. Step 4: Simplify right side
    920,772x = 4,049,463,979,584
  5. Step 5: Solve for x
    x = 4,049,463,979,584/920,772
  6. Step 6: Final answer
    x = 4,397,900.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.