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Finding the Third Proportional to 683,466 and 1,498,560

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Solution

The third proportional to 683,466 and 1,498,560 is: 3,285,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,466 : 1,498,560 = 1,498,560 : x
  2. Step 2: Convert to fraction form
    683,466/1,498,560 = 1,498,560/x
  3. Step 3: Cross multiply
    683,466x = 1,498,560 × 1,498,560
  4. Step 4: Simplify right side
    683,466x = 2,245,682,073,600
  5. Step 5: Solve for x
    x = 2,245,682,073,600/683,466
  6. Step 6: Final answer
    x = 3,285,726.10

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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.