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Finding the Third Proportional to 690,768 and 918,144

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Solution

The third proportional to 690,768 and 918,144 is: 1,220,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,768 : 918,144 = 918,144 : x
  2. Step 2: Convert to fraction form
    690,768/918,144 = 918,144/x
  3. Step 3: Cross multiply
    690,768x = 918,144 × 918,144
  4. Step 4: Simplify right side
    690,768x = 842,988,404,736
  5. Step 5: Solve for x
    x = 842,988,404,736/690,768
  6. Step 6: Final answer
    x = 1,220,364.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.