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Finding the Third Proportional to 846,744 and 1,166,436

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Solution

The third proportional to 846,744 and 1,166,436 is: 1,606,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,744 : 1,166,436 = 1,166,436 : x
  2. Step 2: Convert to fraction form
    846,744/1,166,436 = 1,166,436/x
  3. Step 3: Cross multiply
    846,744x = 1,166,436 × 1,166,436
  4. Step 4: Simplify right side
    846,744x = 1,360,572,942,096
  5. Step 5: Solve for x
    x = 1,360,572,942,096/846,744
  6. Step 6: Final answer
    x = 1,606,829.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.