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Finding the Third Proportional to 651,977 and 997,338

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Solution

The third proportional to 651,977 and 997,338 is: 1,525,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,977 : 997,338 = 997,338 : x
  2. Step 2: Convert to fraction form
    651,977/997,338 = 997,338/x
  3. Step 3: Cross multiply
    651,977x = 997,338 × 997,338
  4. Step 4: Simplify right side
    651,977x = 994,683,086,244
  5. Step 5: Solve for x
    x = 994,683,086,244/651,977
  6. Step 6: Final answer
    x = 1,525,641.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.