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Finding the Third Proportional to 698,826 and 1,054,035

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Solution

The third proportional to 698,826 and 1,054,035 is: 1,589,794.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,826 : 1,054,035 = 1,054,035 : x
  2. Step 2: Convert to fraction form
    698,826/1,054,035 = 1,054,035/x
  3. Step 3: Cross multiply
    698,826x = 1,054,035 × 1,054,035
  4. Step 4: Simplify right side
    698,826x = 1,110,989,781,225
  5. Step 5: Solve for x
    x = 1,110,989,781,225/698,826
  6. Step 6: Final answer
    x = 1,589,794.57

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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.