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Finding the Third Proportional to 2,046,133 and 3,056,563

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Solution

The third proportional to 2,046,133 and 3,056,563 is: 4,565,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046,133 : 3,056,563 = 3,056,563 : x
  2. Step 2: Convert to fraction form
    2,046,133/3,056,563 = 3,056,563/x
  3. Step 3: Cross multiply
    2,046,133x = 3,056,563 × 3,056,563
  4. Step 4: Simplify right side
    2,046,133x = 9,342,577,372,969
  5. Step 5: Solve for x
    x = 9,342,577,372,969/2,046,133
  6. Step 6: Final answer
    x = 4,565,967.79

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.