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Finding the Third Proportional to 385,859 and 827,095

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Solution

The third proportional to 385,859 and 827,095 is: 1,772,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,859 : 827,095 = 827,095 : x
  2. Step 2: Convert to fraction form
    385,859/827,095 = 827,095/x
  3. Step 3: Cross multiply
    385,859x = 827,095 × 827,095
  4. Step 4: Simplify right side
    385,859x = 684,086,139,025
  5. Step 5: Solve for x
    x = 684,086,139,025/385,859
  6. Step 6: Final answer
    x = 1,772,891.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.