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Finding the Third Proportional to 697,187.25 and 1,478,088

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Solution

The third proportional to 697,187.25 and 1,478,088 is: 3,133,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,187.25 : 1,478,088 = 1,478,088 : x
  2. Step 2: Convert to fraction form
    697,187.25/1,478,088 = 1,478,088/x
  3. Step 3: Cross multiply
    697,187.25x = 1,478,088 × 1,478,088
  4. Step 4: Simplify right side
    697,187.25x = 2,184,744,135,744
  5. Step 5: Solve for x
    x = 2,184,744,135,744/697,187.25
  6. Step 6: Final answer
    x = 3,133,654.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.