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Finding the Third Proportional to 840,354.75 and 1,823,206.22

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Solution

The third proportional to 840,354.75 and 1,823,206.22 is: 3,955,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,354.75 : 1,823,206.22 = 1,823,206.22 : x
  2. Step 2: Convert to fraction form
    840,354.75/1,823,206.22 = 1,823,206.22/x
  3. Step 3: Cross multiply
    840,354.75x = 1,823,206.22 × 1,823,206.22
  4. Step 4: Simplify right side
    840,354.75x = 3,324,080,916,088.67
  5. Step 5: Solve for x
    x = 3,324,080,916,088.67/840,354.75
  6. Step 6: Final answer
    x = 3,955,568.66

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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.