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Finding the Third Proportional to 1,051,084 and 2,305,641

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Solution

The third proportional to 1,051,084 and 2,305,641 is: 5,057,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,084 : 2,305,641 = 2,305,641 : x
  2. Step 2: Convert to fraction form
    1,051,084/2,305,641 = 2,305,641/x
  3. Step 3: Cross multiply
    1,051,084x = 2,305,641 × 2,305,641
  4. Step 4: Simplify right side
    1,051,084x = 5,315,980,420,881
  5. Step 5: Solve for x
    x = 5,315,980,420,881/1,051,084
  6. Step 6: Final answer
    x = 5,057,617.11

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