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Finding the Third Proportional to 1,600,460 and 2,477,366

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Solution

The third proportional to 1,600,460 and 2,477,366 is: 3,834,736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600,460 : 2,477,366 = 2,477,366 : x
  2. Step 2: Convert to fraction form
    1,600,460/2,477,366 = 2,477,366/x
  3. Step 3: Cross multiply
    1,600,460x = 2,477,366 × 2,477,366
  4. Step 4: Simplify right side
    1,600,460x = 6,137,342,297,956
  5. Step 5: Solve for x
    x = 6,137,342,297,956/1,600,460
  6. Step 6: Final answer
    x = 3,834,736.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.