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Finding the Third Proportional to 699,114 and 1,531,616.25

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Solution

The third proportional to 699,114 and 1,531,616.25 is: 3,355,458.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,114 : 1,531,616.25 = 1,531,616.25 : x
  2. Step 2: Convert to fraction form
    699,114/1,531,616.25 = 1,531,616.25/x
  3. Step 3: Cross multiply
    699,114x = 1,531,616.25 × 1,531,616.25
  4. Step 4: Simplify right side
    699,114x = 2,345,848,337,264.06
  5. Step 5: Solve for x
    x = 2,345,848,337,264.06/699,114
  6. Step 6: Final answer
    x = 3,355,458.96

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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.