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Finding the Third Proportional to 1,901,715 and 4,228,627

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Solution

The third proportional to 1,901,715 and 4,228,627 is: 9,402,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901,715 : 4,228,627 = 4,228,627 : x
  2. Step 2: Convert to fraction form
    1,901,715/4,228,627 = 4,228,627/x
  3. Step 3: Cross multiply
    1,901,715x = 4,228,627 × 4,228,627
  4. Step 4: Simplify right side
    1,901,715x = 17,881,286,305,129
  5. Step 5: Solve for x
    x = 17,881,286,305,129/1,901,715
  6. Step 6: Final answer
    x = 9,402,716.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.