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Finding the Third Proportional to 773,140 and 1,683,522

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Solution

The third proportional to 773,140 and 1,683,522 is: 3,665,890.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,140 : 1,683,522 = 1,683,522 : x
  2. Step 2: Convert to fraction form
    773,140/1,683,522 = 1,683,522/x
  3. Step 3: Cross multiply
    773,140x = 1,683,522 × 1,683,522
  4. Step 4: Simplify right side
    773,140x = 2,834,246,324,484
  5. Step 5: Solve for x
    x = 2,834,246,324,484/773,140
  6. Step 6: Final answer
    x = 3,665,890.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.