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Finding the Third Proportional to 420,715 and 905,582

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Solution

The third proportional to 420,715 and 905,582 is: 1,949,250.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,715 : 905,582 = 905,582 : x
  2. Step 2: Convert to fraction form
    420,715/905,582 = 905,582/x
  3. Step 3: Cross multiply
    420,715x = 905,582 × 905,582
  4. Step 4: Simplify right side
    420,715x = 820,078,758,724
  5. Step 5: Solve for x
    x = 820,078,758,724/420,715
  6. Step 6: Final answer
    x = 1,949,250.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.