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Finding the Third Proportional to 403,909 and 849,602

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Solution

The third proportional to 403,909 and 849,602 is: 1,787,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,909 : 849,602 = 849,602 : x
  2. Step 2: Convert to fraction form
    403,909/849,602 = 849,602/x
  3. Step 3: Cross multiply
    403,909x = 849,602 × 849,602
  4. Step 4: Simplify right side
    403,909x = 721,823,558,404
  5. Step 5: Solve for x
    x = 721,823,558,404/403,909
  6. Step 6: Final answer
    x = 1,787,094.51

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