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Finding the Third Proportional to 1,241,420 and 2,666,563

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Solution

The third proportional to 1,241,420 and 2,666,563 is: 5,727,761.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241,420 : 2,666,563 = 2,666,563 : x
  2. Step 2: Convert to fraction form
    1,241,420/2,666,563 = 2,666,563/x
  3. Step 3: Cross multiply
    1,241,420x = 2,666,563 × 2,666,563
  4. Step 4: Simplify right side
    1,241,420x = 7,110,558,232,969
  5. Step 5: Solve for x
    x = 7,110,558,232,969/1,241,420
  6. Step 6: Final answer
    x = 5,727,761.94

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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.