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Finding the Third Proportional to 698,679 and 1,496,961

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Solution

The third proportional to 698,679 and 1,496,961 is: 3,207,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,679 : 1,496,961 = 1,496,961 : x
  2. Step 2: Convert to fraction form
    698,679/1,496,961 = 1,496,961/x
  3. Step 3: Cross multiply
    698,679x = 1,496,961 × 1,496,961
  4. Step 4: Simplify right side
    698,679x = 2,240,892,235,521
  5. Step 5: Solve for x
    x = 2,240,892,235,521/698,679
  6. Step 6: Final answer
    x = 3,207,327.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.