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Finding the Third Proportional to 803,544 and 1,091,307

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Solution

The third proportional to 803,544 and 1,091,307 is: 1,482,122.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,544 : 1,091,307 = 1,091,307 : x
  2. Step 2: Convert to fraction form
    803,544/1,091,307 = 1,091,307/x
  3. Step 3: Cross multiply
    803,544x = 1,091,307 × 1,091,307
  4. Step 4: Simplify right side
    803,544x = 1,190,950,968,249
  5. Step 5: Solve for x
    x = 1,190,950,968,249/803,544
  6. Step 6: Final answer
    x = 1,482,122.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.