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Finding the Third Proportional to 651,976 and 997,340

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Solution

The third proportional to 651,976 and 997,340 is: 1,525,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,976 : 997,340 = 997,340 : x
  2. Step 2: Convert to fraction form
    651,976/997,340 = 997,340/x
  3. Step 3: Cross multiply
    651,976x = 997,340 × 997,340
  4. Step 4: Simplify right side
    651,976x = 994,687,075,600
  5. Step 5: Solve for x
    x = 994,687,075,600/651,976
  6. Step 6: Final answer
    x = 1,525,649.83

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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.