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Finding the Third Proportional to 1,606,032 and 2,422,656

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Solution

The third proportional to 1,606,032 and 2,422,656 is: 3,654,511.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606,032 : 2,422,656 = 2,422,656 : x
  2. Step 2: Convert to fraction form
    1,606,032/2,422,656 = 2,422,656/x
  3. Step 3: Cross multiply
    1,606,032x = 2,422,656 × 2,422,656
  4. Step 4: Simplify right side
    1,606,032x = 5,869,262,094,336
  5. Step 5: Solve for x
    x = 5,869,262,094,336/1,606,032
  6. Step 6: Final answer
    x = 3,654,511.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.