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Finding the Third Proportional to 711,616 and 1,082,088

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Solution

The third proportional to 711,616 and 1,082,088 is: 1,645,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,616 : 1,082,088 = 1,082,088 : x
  2. Step 2: Convert to fraction form
    711,616/1,082,088 = 1,082,088/x
  3. Step 3: Cross multiply
    711,616x = 1,082,088 × 1,082,088
  4. Step 4: Simplify right side
    711,616x = 1,170,914,439,744
  5. Step 5: Solve for x
    x = 1,170,914,439,744/711,616
  6. Step 6: Final answer
    x = 1,645,430.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.