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Finding the Third Proportional to 1,514,580 and 3,231,228

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Solution

The third proportional to 1,514,580 and 3,231,228 is: 6,893,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514,580 : 3,231,228 = 3,231,228 : x
  2. Step 2: Convert to fraction form
    1,514,580/3,231,228 = 3,231,228/x
  3. Step 3: Cross multiply
    1,514,580x = 3,231,228 × 3,231,228
  4. Step 4: Simplify right side
    1,514,580x = 10,440,834,387,984
  5. Step 5: Solve for x
    x = 10,440,834,387,984/1,514,580
  6. Step 6: Final answer
    x = 6,893,550.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.