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Finding the Third Proportional to 695,333.11 and 1,443,956.63

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Solution

The third proportional to 695,333.11 and 1,443,956.63 is: 2,998,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,333.11 : 1,443,956.63 = 1,443,956.63 : x
  2. Step 2: Convert to fraction form
    695,333.11/1,443,956.63 = 1,443,956.63/x
  3. Step 3: Cross multiply
    695,333.11x = 1,443,956.63 × 1,443,956.63
  4. Step 4: Simplify right side
    695,333.11x = 2,085,010,734,881.39
  5. Step 5: Solve for x
    x = 2,085,010,734,881.39/695,333.11
  6. Step 6: Final answer
    x = 2,998,578.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.