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Finding the Third Proportional to 699,910.88 and 1,535,415.75

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Solution

The third proportional to 699,910.88 and 1,535,415.75 is: 3,368,288.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,910.88 : 1,535,415.75 = 1,535,415.75 : x
  2. Step 2: Convert to fraction form
    699,910.88/1,535,415.75 = 1,535,415.75/x
  3. Step 3: Cross multiply
    699,910.88x = 1,535,415.75 × 1,535,415.75
  4. Step 4: Simplify right side
    699,910.88x = 2,357,501,525,348.06
  5. Step 5: Solve for x
    x = 2,357,501,525,348.06/699,910.88
  6. Step 6: Final answer
    x = 3,368,288.18

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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.