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Finding the Third Proportional to 866,446 and 1,932,111

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Solution

The third proportional to 866,446 and 1,932,111 is: 4,308,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,446 : 1,932,111 = 1,932,111 : x
  2. Step 2: Convert to fraction form
    866,446/1,932,111 = 1,932,111/x
  3. Step 3: Cross multiply
    866,446x = 1,932,111 × 1,932,111
  4. Step 4: Simplify right side
    866,446x = 3,733,052,916,321
  5. Step 5: Solve for x
    x = 3,733,052,916,321/866,446
  6. Step 6: Final answer
    x = 4,308,465.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.