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Finding the Third Proportional to 831,614 and 1,750,164

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Solution

The third proportional to 831,614 and 1,750,164 is: 3,683,288.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,614 : 1,750,164 = 1,750,164 : x
  2. Step 2: Convert to fraction form
    831,614/1,750,164 = 1,750,164/x
  3. Step 3: Cross multiply
    831,614x = 1,750,164 × 1,750,164
  4. Step 4: Simplify right side
    831,614x = 3,063,074,026,896
  5. Step 5: Solve for x
    x = 3,063,074,026,896/831,614
  6. Step 6: Final answer
    x = 3,683,288.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.