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Finding the Third Proportional to 2,111,670 and 4,643,244

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Solution

The third proportional to 2,111,670 and 4,643,244 is: 10,209,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111,670 : 4,643,244 = 4,643,244 : x
  2. Step 2: Convert to fraction form
    2,111,670/4,643,244 = 4,643,244/x
  3. Step 3: Cross multiply
    2,111,670x = 4,643,244 × 4,643,244
  4. Step 4: Simplify right side
    2,111,670x = 21,559,714,843,536
  5. Step 5: Solve for x
    x = 21,559,714,843,536/2,111,670
  6. Step 6: Final answer
    x = 10,209,793.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.