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Finding the Third Proportional to 420,678 and 912,338

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Solution

The third proportional to 420,678 and 912,338 is: 1,978,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,678 : 912,338 = 912,338 : x
  2. Step 2: Convert to fraction form
    420,678/912,338 = 912,338/x
  3. Step 3: Cross multiply
    420,678x = 912,338 × 912,338
  4. Step 4: Simplify right side
    420,678x = 832,360,626,244
  5. Step 5: Solve for x
    x = 832,360,626,244/420,678
  6. Step 6: Final answer
    x = 1,978,616.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.