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Finding the Third Proportional to 2,000,119 and 4,238,276

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Solution

The third proportional to 2,000,119 and 4,238,276 is: 8,980,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,119 : 4,238,276 = 4,238,276 : x
  2. Step 2: Convert to fraction form
    2,000,119/4,238,276 = 4,238,276/x
  3. Step 3: Cross multiply
    2,000,119x = 4,238,276 × 4,238,276
  4. Step 4: Simplify right side
    2,000,119x = 17,962,983,452,176
  5. Step 5: Solve for x
    x = 17,962,983,452,176/2,000,119
  6. Step 6: Final answer
    x = 8,980,957.36

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Why These Related Problems?

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