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Finding the Third Proportional to 403,832 and 849,460

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Solution

The third proportional to 403,832 and 849,460 is: 1,786,837.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,832 : 849,460 = 849,460 : x
  2. Step 2: Convert to fraction form
    403,832/849,460 = 849,460/x
  3. Step 3: Cross multiply
    403,832x = 849,460 × 849,460
  4. Step 4: Simplify right side
    403,832x = 721,582,291,600
  5. Step 5: Solve for x
    x = 721,582,291,600/403,832
  6. Step 6: Final answer
    x = 1,786,837.82

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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.