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Finding the Third Proportional to 1,265,090.06 and 2,754,803.25

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Solution

The third proportional to 1,265,090.06 and 2,754,803.25 is: 5,998,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265,090.06 : 2,754,803.25 = 2,754,803.25 : x
  2. Step 2: Convert to fraction form
    1,265,090.06/2,754,803.25 = 2,754,803.25/x
  3. Step 3: Cross multiply
    1,265,090.06x = 2,754,803.25 × 2,754,803.25
  4. Step 4: Simplify right side
    1,265,090.06x = 7,588,940,946,210.56
  5. Step 5: Solve for x
    x = 7,588,940,946,210.56/1,265,090.06
  6. Step 6: Final answer
    x = 5,998,735.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.