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Finding the Third Proportional to 701,126 and 1,531,948

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Solution

The third proportional to 701,126 and 1,531,948 is: 3,347,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,126 : 1,531,948 = 1,531,948 : x
  2. Step 2: Convert to fraction form
    701,126/1,531,948 = 1,531,948/x
  3. Step 3: Cross multiply
    701,126x = 1,531,948 × 1,531,948
  4. Step 4: Simplify right side
    701,126x = 2,346,864,674,704
  5. Step 5: Solve for x
    x = 2,346,864,674,704/701,126
  6. Step 6: Final answer
    x = 3,347,279.48

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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.