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Finding the Third Proportional to 831,110 and 1,819,862

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Solution

The third proportional to 831,110 and 1,819,862 is: 3,984,908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,110 : 1,819,862 = 1,819,862 : x
  2. Step 2: Convert to fraction form
    831,110/1,819,862 = 1,819,862/x
  3. Step 3: Cross multiply
    831,110x = 1,819,862 × 1,819,862
  4. Step 4: Simplify right side
    831,110x = 3,311,897,699,044
  5. Step 5: Solve for x
    x = 3,311,897,699,044/831,110
  6. Step 6: Final answer
    x = 3,984,908.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.