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Finding the Third Proportional to 756,544 and 1,173,024

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Solution

The third proportional to 756,544 and 1,173,024 is: 1,818,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,544 : 1,173,024 = 1,173,024 : x
  2. Step 2: Convert to fraction form
    756,544/1,173,024 = 1,173,024/x
  3. Step 3: Cross multiply
    756,544x = 1,173,024 × 1,173,024
  4. Step 4: Simplify right side
    756,544x = 1,375,985,304,576
  5. Step 5: Solve for x
    x = 1,375,985,304,576/756,544
  6. Step 6: Final answer
    x = 1,818,777.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.