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Finding the Third Proportional to 1,264,983.75 and 2,765,881.69

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Solution

The third proportional to 1,264,983.75 and 2,765,881.69 is: 6,047,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,983.75 : 2,765,881.69 = 2,765,881.69 : x
  2. Step 2: Convert to fraction form
    1,264,983.75/2,765,881.69 = 2,765,881.69/x
  3. Step 3: Cross multiply
    1,264,983.75x = 2,765,881.69 × 2,765,881.69
  4. Step 4: Simplify right side
    1,264,983.75x = 7,650,101,509,247.85
  5. Step 5: Solve for x
    x = 7,650,101,509,247.85/1,264,983.75
  6. Step 6: Final answer
    x = 6,047,588.76

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Why These Related Problems?

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