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Finding the Third Proportional to 2,057,740 and 4,513,892

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Solution

The third proportional to 2,057,740 and 4,513,892 is: 9,901,747.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057,740 : 4,513,892 = 4,513,892 : x
  2. Step 2: Convert to fraction form
    2,057,740/4,513,892 = 4,513,892/x
  3. Step 3: Cross multiply
    2,057,740x = 4,513,892 × 4,513,892
  4. Step 4: Simplify right side
    2,057,740x = 20,375,220,987,664
  5. Step 5: Solve for x
    x = 20,375,220,987,664/2,057,740
  6. Step 6: Final answer
    x = 9,901,747.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.