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Finding the Third Proportional to 698,997 and 1,427,334

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Solution

The third proportional to 698,997 and 1,427,334 is: 2,914,579.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,997 : 1,427,334 = 1,427,334 : x
  2. Step 2: Convert to fraction form
    698,997/1,427,334 = 1,427,334/x
  3. Step 3: Cross multiply
    698,997x = 1,427,334 × 1,427,334
  4. Step 4: Simplify right side
    698,997x = 2,037,282,347,556
  5. Step 5: Solve for x
    x = 2,037,282,347,556/698,997
  6. Step 6: Final answer
    x = 2,914,579.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.