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Finding the Third Proportional to 1,932,781.50 and 4,197,717

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Solution

The third proportional to 1,932,781.50 and 4,197,717 is: 9,116,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932,781.50 : 4,197,717 = 4,197,717 : x
  2. Step 2: Convert to fraction form
    1,932,781.50/4,197,717 = 4,197,717/x
  3. Step 3: Cross multiply
    1,932,781.50x = 4,197,717 × 4,197,717
  4. Step 4: Simplify right side
    1,932,781.50x = 17,620,828,012,089
  5. Step 5: Solve for x
    x = 17,620,828,012,089/1,932,781.50
  6. Step 6: Final answer
    x = 9,116,823.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.