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Finding the Third Proportional to 730,998 and 1,096,497

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Solution

The third proportional to 730,998 and 1,096,497 is: 1,644,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,998 : 1,096,497 = 1,096,497 : x
  2. Step 2: Convert to fraction form
    730,998/1,096,497 = 1,096,497/x
  3. Step 3: Cross multiply
    730,998x = 1,096,497 × 1,096,497
  4. Step 4: Simplify right side
    730,998x = 1,202,305,671,009
  5. Step 5: Solve for x
    x = 1,202,305,671,009/730,998
  6. Step 6: Final answer
    x = 1,644,745.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.