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Finding the Third Proportional to 698,999 and 1,427,338

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Solution

The third proportional to 698,999 and 1,427,338 is: 2,914,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,999 : 1,427,338 = 1,427,338 : x
  2. Step 2: Convert to fraction form
    698,999/1,427,338 = 1,427,338/x
  3. Step 3: Cross multiply
    698,999x = 1,427,338 × 1,427,338
  4. Step 4: Simplify right side
    698,999x = 2,037,293,766,244
  5. Step 5: Solve for x
    x = 2,037,293,766,244/698,999
  6. Step 6: Final answer
    x = 2,914,587.53

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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.