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Finding the Third Proportional to 757,923 and 1,114,701

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Solution

The third proportional to 757,923 and 1,114,701 is: 1,639,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,923 : 1,114,701 = 1,114,701 : x
  2. Step 2: Convert to fraction form
    757,923/1,114,701 = 1,114,701/x
  3. Step 3: Cross multiply
    757,923x = 1,114,701 × 1,114,701
  4. Step 4: Simplify right side
    757,923x = 1,242,558,319,401
  5. Step 5: Solve for x
    x = 1,242,558,319,401/757,923
  6. Step 6: Final answer
    x = 1,639,425.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.