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Finding the Third Proportional to 756,957 and 1,653,234

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Solution

The third proportional to 756,957 and 1,653,234 is: 3,610,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,957 : 1,653,234 = 1,653,234 : x
  2. Step 2: Convert to fraction form
    756,957/1,653,234 = 1,653,234/x
  3. Step 3: Cross multiply
    756,957x = 1,653,234 × 1,653,234
  4. Step 4: Simplify right side
    756,957x = 2,733,182,658,756
  5. Step 5: Solve for x
    x = 2,733,182,658,756/756,957
  6. Step 6: Final answer
    x = 3,610,750.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.