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Finding the Third Proportional to 651,715 and 996,964

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Solution

The third proportional to 651,715 and 996,964 is: 1,525,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,715 : 996,964 = 996,964 : x
  2. Step 2: Convert to fraction form
    651,715/996,964 = 996,964/x
  3. Step 3: Cross multiply
    651,715x = 996,964 × 996,964
  4. Step 4: Simplify right side
    651,715x = 993,937,217,296
  5. Step 5: Solve for x
    x = 993,937,217,296/651,715
  6. Step 6: Final answer
    x = 1,525,110.24

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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.