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Finding the Third Proportional to 901,376 and 1,827,648

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Solution

The third proportional to 901,376 and 1,827,648 is: 3,705,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,376 : 1,827,648 = 1,827,648 : x
  2. Step 2: Convert to fraction form
    901,376/1,827,648 = 1,827,648/x
  3. Step 3: Cross multiply
    901,376x = 1,827,648 × 1,827,648
  4. Step 4: Simplify right side
    901,376x = 3,340,297,211,904
  5. Step 5: Solve for x
    x = 3,340,297,211,904/901,376
  6. Step 6: Final answer
    x = 3,705,775.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.