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Finding the Third Proportional to 1,060,472.25 and 2,289,039.75

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Solution

The third proportional to 1,060,472.25 and 2,289,039.75 is: 4,940,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060,472.25 : 2,289,039.75 = 2,289,039.75 : x
  2. Step 2: Convert to fraction form
    1,060,472.25/2,289,039.75 = 2,289,039.75/x
  3. Step 3: Cross multiply
    1,060,472.25x = 2,289,039.75 × 2,289,039.75
  4. Step 4: Simplify right side
    1,060,472.25x = 5,239,702,977,080.06
  5. Step 5: Solve for x
    x = 5,239,702,977,080.06/1,060,472.25
  6. Step 6: Final answer
    x = 4,940,914.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.