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Finding the Third Proportional to 2,000,117 and 4,238,272

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Solution

The third proportional to 2,000,117 and 4,238,272 is: 8,980,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,117 : 4,238,272 = 4,238,272 : x
  2. Step 2: Convert to fraction form
    2,000,117/4,238,272 = 4,238,272/x
  3. Step 3: Cross multiply
    2,000,117x = 4,238,272 × 4,238,272
  4. Step 4: Simplify right side
    2,000,117x = 17,962,949,545,984
  5. Step 5: Solve for x
    x = 17,962,949,545,984/2,000,117
  6. Step 6: Final answer
    x = 8,980,949.39

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.