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Finding the Third Proportional to 701,121 and 1,531,938

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Solution

The third proportional to 701,121 and 1,531,938 is: 3,347,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,121 : 1,531,938 = 1,531,938 : x
  2. Step 2: Convert to fraction form
    701,121/1,531,938 = 1,531,938/x
  3. Step 3: Cross multiply
    701,121x = 1,531,938 × 1,531,938
  4. Step 4: Simplify right side
    701,121x = 2,346,834,035,844
  5. Step 5: Solve for x
    x = 2,346,834,035,844/701,121
  6. Step 6: Final answer
    x = 3,347,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.