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Finding the Third Proportional to 498,186 and 1,031,805

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Solution

The third proportional to 498,186 and 1,031,805 is: 2,136,996.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,186 : 1,031,805 = 1,031,805 : x
  2. Step 2: Convert to fraction form
    498,186/1,031,805 = 1,031,805/x
  3. Step 3: Cross multiply
    498,186x = 1,031,805 × 1,031,805
  4. Step 4: Simplify right side
    498,186x = 1,064,621,558,025
  5. Step 5: Solve for x
    x = 1,064,621,558,025/498,186
  6. Step 6: Final answer
    x = 2,136,996.14

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.