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Finding the Third Proportional to 683,478 and 1,498,590

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Solution

The third proportional to 683,478 and 1,498,590 is: 3,285,799.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,478 : 1,498,590 = 1,498,590 : x
  2. Step 2: Convert to fraction form
    683,478/1,498,590 = 1,498,590/x
  3. Step 3: Cross multiply
    683,478x = 1,498,590 × 1,498,590
  4. Step 4: Simplify right side
    683,478x = 2,245,771,988,100
  5. Step 5: Solve for x
    x = 2,245,771,988,100/683,478
  6. Step 6: Final answer
    x = 3,285,799.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.