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Finding the Third Proportional to 651,979 and 997,341

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Solution

The third proportional to 651,979 and 997,341 is: 1,525,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,979 : 997,341 = 997,341 : x
  2. Step 2: Convert to fraction form
    651,979/997,341 = 997,341/x
  3. Step 3: Cross multiply
    651,979x = 997,341 × 997,341
  4. Step 4: Simplify right side
    651,979x = 994,689,070,281
  5. Step 5: Solve for x
    x = 994,689,070,281/651,979
  6. Step 6: Final answer
    x = 1,525,645.87

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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.