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Finding the Third Proportional to 437,724 and 905,778

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Solution

The third proportional to 437,724 and 905,778 is: 1,874,317.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,724 : 905,778 = 905,778 : x
  2. Step 2: Convert to fraction form
    437,724/905,778 = 905,778/x
  3. Step 3: Cross multiply
    437,724x = 905,778 × 905,778
  4. Step 4: Simplify right side
    437,724x = 820,433,785,284
  5. Step 5: Solve for x
    x = 820,433,785,284/437,724
  6. Step 6: Final answer
    x = 1,874,317.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.