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Finding the Third Proportional to 403,788 and 849,426

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Solution

The third proportional to 403,788 and 849,426 is: 1,786,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,788 : 849,426 = 849,426 : x
  2. Step 2: Convert to fraction form
    403,788/849,426 = 849,426/x
  3. Step 3: Cross multiply
    403,788x = 849,426 × 849,426
  4. Step 4: Simplify right side
    403,788x = 721,524,529,476
  5. Step 5: Solve for x
    x = 721,524,529,476/403,788
  6. Step 6: Final answer
    x = 1,786,889.48

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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.