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Finding the Third Proportional to 789,766 and 1,705,619

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Solution

The third proportional to 789,766 and 1,705,619 is: 3,683,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,766 : 1,705,619 = 1,705,619 : x
  2. Step 2: Convert to fraction form
    789,766/1,705,619 = 1,705,619/x
  3. Step 3: Cross multiply
    789,766x = 1,705,619 × 1,705,619
  4. Step 4: Simplify right side
    789,766x = 2,909,136,173,161
  5. Step 5: Solve for x
    x = 2,909,136,173,161/789,766
  6. Step 6: Final answer
    x = 3,683,541.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.