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Finding the Third Proportional to 853,294.50 and 1,970,426.25

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Solution

The third proportional to 853,294.50 and 1,970,426.25 is: 4,550,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,294.50 : 1,970,426.25 = 1,970,426.25 : x
  2. Step 2: Convert to fraction form
    853,294.50/1,970,426.25 = 1,970,426.25/x
  3. Step 3: Cross multiply
    853,294.50x = 1,970,426.25 × 1,970,426.25
  4. Step 4: Simplify right side
    853,294.50x = 3,882,579,606,689.06
  5. Step 5: Solve for x
    x = 3,882,579,606,689.06/853,294.50
  6. Step 6: Final answer
    x = 4,550,105.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.