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Finding the Third Proportional to 403,912 and 849,608

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Solution

The third proportional to 403,912 and 849,608 is: 1,787,106.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,912 : 849,608 = 849,608 : x
  2. Step 2: Convert to fraction form
    403,912/849,608 = 849,608/x
  3. Step 3: Cross multiply
    403,912x = 849,608 × 849,608
  4. Step 4: Simplify right side
    403,912x = 721,833,753,664
  5. Step 5: Solve for x
    x = 721,833,753,664/403,912
  6. Step 6: Final answer
    x = 1,787,106.48

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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.