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Finding the Third Proportional to 1,640,291 and 2,208,147

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Solution

The third proportional to 1,640,291 and 2,208,147 is: 2,972,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640,291 : 2,208,147 = 2,208,147 : x
  2. Step 2: Convert to fraction form
    1,640,291/2,208,147 = 2,208,147/x
  3. Step 3: Cross multiply
    1,640,291x = 2,208,147 × 2,208,147
  4. Step 4: Simplify right side
    1,640,291x = 4,875,913,173,609
  5. Step 5: Solve for x
    x = 4,875,913,173,609/1,640,291
  6. Step 6: Final answer
    x = 2,972,590.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.