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Finding the Third Proportional to 698,666 and 1,054,638

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Solution

The third proportional to 698,666 and 1,054,638 is: 1,591,978.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,666 : 1,054,638 = 1,054,638 : x
  2. Step 2: Convert to fraction form
    698,666/1,054,638 = 1,054,638/x
  3. Step 3: Cross multiply
    698,666x = 1,054,638 × 1,054,638
  4. Step 4: Simplify right side
    698,666x = 1,112,261,311,044
  5. Step 5: Solve for x
    x = 1,112,261,311,044/698,666
  6. Step 6: Final answer
    x = 1,591,978.59

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.