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Finding the Third Proportional to 1,381,152 and 2,858,208

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Solution

The third proportional to 1,381,152 and 2,858,208 is: 5,914,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,152 : 2,858,208 = 2,858,208 : x
  2. Step 2: Convert to fraction form
    1,381,152/2,858,208 = 2,858,208/x
  3. Step 3: Cross multiply
    1,381,152x = 2,858,208 × 2,858,208
  4. Step 4: Simplify right side
    1,381,152x = 8,169,352,971,264
  5. Step 5: Solve for x
    x = 8,169,352,971,264/1,381,152
  6. Step 6: Final answer
    x = 5,914,883.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.