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Finding the Third Proportional to 449,710 and 957,682

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Solution

The third proportional to 449,710 and 957,682 is: 2,039,436.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,710 : 957,682 = 957,682 : x
  2. Step 2: Convert to fraction form
    449,710/957,682 = 957,682/x
  3. Step 3: Cross multiply
    449,710x = 957,682 × 957,682
  4. Step 4: Simplify right side
    449,710x = 917,154,813,124
  5. Step 5: Solve for x
    x = 917,154,813,124/449,710
  6. Step 6: Final answer
    x = 2,039,436.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.