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Finding the Third Proportional to 2,005,678 and 4,291,292

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Solution

The third proportional to 2,005,678 and 4,291,292 is: 9,181,527.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,678 : 4,291,292 = 4,291,292 : x
  2. Step 2: Convert to fraction form
    2,005,678/4,291,292 = 4,291,292/x
  3. Step 3: Cross multiply
    2,005,678x = 4,291,292 × 4,291,292
  4. Step 4: Simplify right side
    2,005,678x = 18,415,187,029,264
  5. Step 5: Solve for x
    x = 18,415,187,029,264/2,005,678
  6. Step 6: Final answer
    x = 9,181,527.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.