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Finding the Third Proportional to 831,964 and 1,188,894

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Solution

The third proportional to 831,964 and 1,188,894 is: 1,698,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,964 : 1,188,894 = 1,188,894 : x
  2. Step 2: Convert to fraction form
    831,964/1,188,894 = 1,188,894/x
  3. Step 3: Cross multiply
    831,964x = 1,188,894 × 1,188,894
  4. Step 4: Simplify right side
    831,964x = 1,413,468,943,236
  5. Step 5: Solve for x
    x = 1,413,468,943,236/831,964
  6. Step 6: Final answer
    x = 1,698,954.45

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.