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Finding the Third Proportional to 651,699 and 996,940

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Solution

The third proportional to 651,699 and 996,940 is: 1,525,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,699 : 996,940 = 996,940 : x
  2. Step 2: Convert to fraction form
    651,699/996,940 = 996,940/x
  3. Step 3: Cross multiply
    651,699x = 996,940 × 996,940
  4. Step 4: Simplify right side
    651,699x = 993,889,363,600
  5. Step 5: Solve for x
    x = 993,889,363,600/651,699
  6. Step 6: Final answer
    x = 1,525,074.25

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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.