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Finding the Third Proportional to 2,051,522 and 4,418,546

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Solution

The third proportional to 2,051,522 and 4,418,546 is: 9,516,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,522 : 4,418,546 = 4,418,546 : x
  2. Step 2: Convert to fraction form
    2,051,522/4,418,546 = 4,418,546/x
  3. Step 3: Cross multiply
    2,051,522x = 4,418,546 × 4,418,546
  4. Step 4: Simplify right side
    2,051,522x = 19,523,548,754,116
  5. Step 5: Solve for x
    x = 19,523,548,754,116/2,051,522
  6. Step 6: Final answer
    x = 9,516,616.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.