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Finding the Third Proportional to 665,025 and 1,031,844

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Solution

The third proportional to 665,025 and 1,031,844 is: 1,600,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,025 : 1,031,844 = 1,031,844 : x
  2. Step 2: Convert to fraction form
    665,025/1,031,844 = 1,031,844/x
  3. Step 3: Cross multiply
    665,025x = 1,031,844 × 1,031,844
  4. Step 4: Simplify right side
    665,025x = 1,064,702,040,336
  5. Step 5: Solve for x
    x = 1,064,702,040,336/665,025
  6. Step 6: Final answer
    x = 1,600,995.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.