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Finding the Third Proportional to 698,909 and 1,081,579

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Solution

The third proportional to 698,909 and 1,081,579 is: 1,673,770.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,909 : 1,081,579 = 1,081,579 : x
  2. Step 2: Convert to fraction form
    698,909/1,081,579 = 1,081,579/x
  3. Step 3: Cross multiply
    698,909x = 1,081,579 × 1,081,579
  4. Step 4: Simplify right side
    698,909x = 1,169,813,133,241
  5. Step 5: Solve for x
    x = 1,169,813,133,241/698,909
  6. Step 6: Final answer
    x = 1,673,770.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.