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Finding the Third Proportional to 651,970 and 997,331

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Solution

The third proportional to 651,970 and 997,331 is: 1,525,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,970 : 997,331 = 997,331 : x
  2. Step 2: Convert to fraction form
    651,970/997,331 = 997,331/x
  3. Step 3: Cross multiply
    651,970x = 997,331 × 997,331
  4. Step 4: Simplify right side
    651,970x = 994,669,123,561
  5. Step 5: Solve for x
    x = 994,669,123,561/651,970
  6. Step 6: Final answer
    x = 1,525,636.34

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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.