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Finding the Third Proportional to 1,645,000 and 2,453,856

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Solution

The third proportional to 1,645,000 and 2,453,856 is: 3,660,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645,000 : 2,453,856 = 2,453,856 : x
  2. Step 2: Convert to fraction form
    1,645,000/2,453,856 = 2,453,856/x
  3. Step 3: Cross multiply
    1,645,000x = 2,453,856 × 2,453,856
  4. Step 4: Simplify right side
    1,645,000x = 6,021,409,268,736
  5. Step 5: Solve for x
    x = 6,021,409,268,736/1,645,000
  6. Step 6: Final answer
    x = 3,660,431.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.