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Finding the Third Proportional to 403,907 and 849,598

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Solution

The third proportional to 403,907 and 849,598 is: 1,787,086.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,907 : 849,598 = 849,598 : x
  2. Step 2: Convert to fraction form
    403,907/849,598 = 849,598/x
  3. Step 3: Cross multiply
    403,907x = 849,598 × 849,598
  4. Step 4: Simplify right side
    403,907x = 721,816,761,604
  5. Step 5: Solve for x
    x = 721,816,761,604/403,907
  6. Step 6: Final answer
    x = 1,787,086.54

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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.