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Finding the Third Proportional to 674,490 and 1,396,522.50

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Solution

The third proportional to 674,490 and 1,396,522.50 is: 2,891,481.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,490 : 1,396,522.50 = 1,396,522.50 : x
  2. Step 2: Convert to fraction form
    674,490/1,396,522.50 = 1,396,522.50/x
  3. Step 3: Cross multiply
    674,490x = 1,396,522.50 × 1,396,522.50
  4. Step 4: Simplify right side
    674,490x = 1,950,275,093,006.25
  5. Step 5: Solve for x
    x = 1,950,275,093,006.25/674,490
  6. Step 6: Final answer
    x = 2,891,481.11

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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.