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Finding the Third Proportional to 1,026,182.25 and 2,201,802.75

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Solution

The third proportional to 1,026,182.25 and 2,201,802.75 is: 4,724,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,182.25 : 2,201,802.75 = 2,201,802.75 : x
  2. Step 2: Convert to fraction form
    1,026,182.25/2,201,802.75 = 2,201,802.75/x
  3. Step 3: Cross multiply
    1,026,182.25x = 2,201,802.75 × 2,201,802.75
  4. Step 4: Simplify right side
    1,026,182.25x = 4,847,935,349,907.56
  5. Step 5: Solve for x
    x = 4,847,935,349,907.56/1,026,182.25
  6. Step 6: Final answer
    x = 4,724,244.01

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