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Finding the Third Proportional to 668,544 and 1,097,466

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Solution

The third proportional to 668,544 and 1,097,466 is: 1,801,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,544 : 1,097,466 = 1,097,466 : x
  2. Step 2: Convert to fraction form
    668,544/1,097,466 = 1,097,466/x
  3. Step 3: Cross multiply
    668,544x = 1,097,466 × 1,097,466
  4. Step 4: Simplify right side
    668,544x = 1,204,431,621,156
  5. Step 5: Solve for x
    x = 1,204,431,621,156/668,544
  6. Step 6: Final answer
    x = 1,801,574.20

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.