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Finding the Third Proportional to 2,131,710 and 4,567,308

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Solution

The third proportional to 2,131,710 and 4,567,308 is: 9,785,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,710 : 4,567,308 = 4,567,308 : x
  2. Step 2: Convert to fraction form
    2,131,710/4,567,308 = 4,567,308/x
  3. Step 3: Cross multiply
    2,131,710x = 4,567,308 × 4,567,308
  4. Step 4: Simplify right side
    2,131,710x = 20,860,302,366,864
  5. Step 5: Solve for x
    x = 20,860,302,366,864/2,131,710
  6. Step 6: Final answer
    x = 9,785,713.05

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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.