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Finding the Third Proportional to 403,902 and 849,588

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Solution

The third proportional to 403,902 and 849,588 is: 1,787,066.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,902 : 849,588 = 849,588 : x
  2. Step 2: Convert to fraction form
    403,902/849,588 = 849,588/x
  3. Step 3: Cross multiply
    403,902x = 849,588 × 849,588
  4. Step 4: Simplify right side
    403,902x = 721,799,769,744
  5. Step 5: Solve for x
    x = 721,799,769,744/403,902
  6. Step 6: Final answer
    x = 1,787,066.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.