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Finding the Third Proportional to 2,186,961 and 4,733,346

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Solution

The third proportional to 2,186,961 and 4,733,346 is: 10,244,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186,961 : 4,733,346 = 4,733,346 : x
  2. Step 2: Convert to fraction form
    2,186,961/4,733,346 = 4,733,346/x
  3. Step 3: Cross multiply
    2,186,961x = 4,733,346 × 4,733,346
  4. Step 4: Simplify right side
    2,186,961x = 22,404,564,355,716
  5. Step 5: Solve for x
    x = 22,404,564,355,716/2,186,961
  6. Step 6: Final answer
    x = 10,244,610.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.