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Finding the Third Proportional to 807,616 and 1,213,376

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Solution

The third proportional to 807,616 and 1,213,376 is: 1,822,996.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,616 : 1,213,376 = 1,213,376 : x
  2. Step 2: Convert to fraction form
    807,616/1,213,376 = 1,213,376/x
  3. Step 3: Cross multiply
    807,616x = 1,213,376 × 1,213,376
  4. Step 4: Simplify right side
    807,616x = 1,472,281,317,376
  5. Step 5: Solve for x
    x = 1,472,281,317,376/807,616
  6. Step 6: Final answer
    x = 1,822,996.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.