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Finding the Third Proportional to 665,801 and 1,438,011

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Solution

The third proportional to 665,801 and 1,438,011 is: 3,105,846.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,801 : 1,438,011 = 1,438,011 : x
  2. Step 2: Convert to fraction form
    665,801/1,438,011 = 1,438,011/x
  3. Step 3: Cross multiply
    665,801x = 1,438,011 × 1,438,011
  4. Step 4: Simplify right side
    665,801x = 2,067,875,636,121
  5. Step 5: Solve for x
    x = 2,067,875,636,121/665,801
  6. Step 6: Final answer
    x = 3,105,846.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.