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Finding the Third Proportional to 1,127,750.25 and 2,478,786

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Solution

The third proportional to 1,127,750.25 and 2,478,786 is: 5,448,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,750.25 : 2,478,786 = 2,478,786 : x
  2. Step 2: Convert to fraction form
    1,127,750.25/2,478,786 = 2,478,786/x
  3. Step 3: Cross multiply
    1,127,750.25x = 2,478,786 × 2,478,786
  4. Step 4: Simplify right side
    1,127,750.25x = 6,144,380,033,796
  5. Step 5: Solve for x
    x = 6,144,380,033,796/1,127,750.25
  6. Step 6: Final answer
    x = 5,448,351.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.