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Finding the Third Proportional to 831,519 and 1,254,771

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Solution

The third proportional to 831,519 and 1,254,771 is: 1,893,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,519 : 1,254,771 = 1,254,771 : x
  2. Step 2: Convert to fraction form
    831,519/1,254,771 = 1,254,771/x
  3. Step 3: Cross multiply
    831,519x = 1,254,771 × 1,254,771
  4. Step 4: Simplify right side
    831,519x = 1,574,450,262,441
  5. Step 5: Solve for x
    x = 1,574,450,262,441/831,519
  6. Step 6: Final answer
    x = 1,893,462.76

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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.