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Finding the Third Proportional to 1,057,536 and 2,186,208

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Solution

The third proportional to 1,057,536 and 2,186,208 is: 4,519,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,536 : 2,186,208 = 2,186,208 : x
  2. Step 2: Convert to fraction form
    1,057,536/2,186,208 = 2,186,208/x
  3. Step 3: Cross multiply
    1,057,536x = 2,186,208 × 2,186,208
  4. Step 4: Simplify right side
    1,057,536x = 4,779,505,419,264
  5. Step 5: Solve for x
    x = 4,779,505,419,264/1,057,536
  6. Step 6: Final answer
    x = 4,519,473.02

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.