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Finding the Third Proportional to 831,142 and 1,795,160

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Solution

The third proportional to 831,142 and 1,795,160 is: 3,877,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,142 : 1,795,160 = 1,795,160 : x
  2. Step 2: Convert to fraction form
    831,142/1,795,160 = 1,795,160/x
  3. Step 3: Cross multiply
    831,142x = 1,795,160 × 1,795,160
  4. Step 4: Simplify right side
    831,142x = 3,222,599,425,600
  5. Step 5: Solve for x
    x = 3,222,599,425,600/831,142
  6. Step 6: Final answer
    x = 3,877,315.10

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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.