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Finding the Third Proportional to 1,891,120 and 2,906,645

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Solution

The third proportional to 1,891,120 and 2,906,645 is: 4,467,503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,120 : 2,906,645 = 2,906,645 : x
  2. Step 2: Convert to fraction form
    1,891,120/2,906,645 = 2,906,645/x
  3. Step 3: Cross multiply
    1,891,120x = 2,906,645 × 2,906,645
  4. Step 4: Simplify right side
    1,891,120x = 8,448,585,156,025
  5. Step 5: Solve for x
    x = 8,448,585,156,025/1,891,120
  6. Step 6: Final answer
    x = 4,467,503.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.