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Finding the Third Proportional to 961,599 and 2,056,605

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Solution

The third proportional to 961,599 and 2,056,605 is: 4,398,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,599 : 2,056,605 = 2,056,605 : x
  2. Step 2: Convert to fraction form
    961,599/2,056,605 = 2,056,605/x
  3. Step 3: Cross multiply
    961,599x = 2,056,605 × 2,056,605
  4. Step 4: Simplify right side
    961,599x = 4,229,624,126,025
  5. Step 5: Solve for x
    x = 4,229,624,126,025/961,599
  6. Step 6: Final answer
    x = 4,398,532.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.