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Finding the Third Proportional to 651,713 and 996,961

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Solution

The third proportional to 651,713 and 996,961 is: 1,525,105.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,713 : 996,961 = 996,961 : x
  2. Step 2: Convert to fraction form
    651,713/996,961 = 996,961/x
  3. Step 3: Cross multiply
    651,713x = 996,961 × 996,961
  4. Step 4: Simplify right side
    651,713x = 993,931,235,521
  5. Step 5: Solve for x
    x = 993,931,235,521/651,713
  6. Step 6: Final answer
    x = 1,525,105.74

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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.