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Finding the Third Proportional to 961,648 and 2,056,702

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Solution

The third proportional to 961,648 and 2,056,702 is: 4,398,722.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,648 : 2,056,702 = 2,056,702 : x
  2. Step 2: Convert to fraction form
    961,648/2,056,702 = 2,056,702/x
  3. Step 3: Cross multiply
    961,648x = 2,056,702 × 2,056,702
  4. Step 4: Simplify right side
    961,648x = 4,230,023,116,804
  5. Step 5: Solve for x
    x = 4,230,023,116,804/961,648
  6. Step 6: Final answer
    x = 4,398,722.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.