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Finding the Third Proportional to 415,041.50 and 906,968.25

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Solution

The third proportional to 415,041.50 and 906,968.25 is: 1,981,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,041.50 : 906,968.25 = 906,968.25 : x
  2. Step 2: Convert to fraction form
    415,041.50/906,968.25 = 906,968.25/x
  3. Step 3: Cross multiply
    415,041.50x = 906,968.25 × 906,968.25
  4. Step 4: Simplify right side
    415,041.50x = 822,591,406,508.06
  5. Step 5: Solve for x
    x = 822,591,406,508.06/415,041.50
  6. Step 6: Final answer
    x = 1,981,949.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.