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Finding the Third Proportional to 662,297 and 1,049,175

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Solution

The third proportional to 662,297 and 1,049,175 is: 1,662,046.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,297 : 1,049,175 = 1,049,175 : x
  2. Step 2: Convert to fraction form
    662,297/1,049,175 = 1,049,175/x
  3. Step 3: Cross multiply
    662,297x = 1,049,175 × 1,049,175
  4. Step 4: Simplify right side
    662,297x = 1,100,768,180,625
  5. Step 5: Solve for x
    x = 1,100,768,180,625/662,297
  6. Step 6: Final answer
    x = 1,662,046.15

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.