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Finding the Third Proportional to 2,407,344 and 3,739,563

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Solution

The third proportional to 2,407,344 and 3,739,563 is: 5,809,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,344 : 3,739,563 = 3,739,563 : x
  2. Step 2: Convert to fraction form
    2,407,344/3,739,563 = 3,739,563/x
  3. Step 3: Cross multiply
    2,407,344x = 3,739,563 × 3,739,563
  4. Step 4: Simplify right side
    2,407,344x = 13,984,331,430,969
  5. Step 5: Solve for x
    x = 13,984,331,430,969/2,407,344
  6. Step 6: Final answer
    x = 5,809,029.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.