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Finding the Third Proportional to 444,457 and 958,412

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Solution

The third proportional to 444,457 and 958,412 is: 2,066,687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,457 : 958,412 = 958,412 : x
  2. Step 2: Convert to fraction form
    444,457/958,412 = 958,412/x
  3. Step 3: Cross multiply
    444,457x = 958,412 × 958,412
  4. Step 4: Simplify right side
    444,457x = 918,553,561,744
  5. Step 5: Solve for x
    x = 918,553,561,744/444,457
  6. Step 6: Final answer
    x = 2,066,687.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.