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Finding the Third Proportional to 651,915 and 997,326

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Solution

The third proportional to 651,915 and 997,326 is: 1,525,749.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,915 : 997,326 = 997,326 : x
  2. Step 2: Convert to fraction form
    651,915/997,326 = 997,326/x
  3. Step 3: Cross multiply
    651,915x = 997,326 × 997,326
  4. Step 4: Simplify right side
    651,915x = 994,659,150,276
  5. Step 5: Solve for x
    x = 994,659,150,276/651,915
  6. Step 6: Final answer
    x = 1,525,749.75

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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.