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Finding the Third Proportional to 660,264.75 and 1,447,102.13

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Solution

The third proportional to 660,264.75 and 1,447,102.13 is: 3,171,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,264.75 : 1,447,102.13 = 1,447,102.13 : x
  2. Step 2: Convert to fraction form
    660,264.75/1,447,102.13 = 1,447,102.13/x
  3. Step 3: Cross multiply
    660,264.75x = 1,447,102.13 × 1,447,102.13
  4. Step 4: Simplify right side
    660,264.75x = 2,094,104,560,179.52
  5. Step 5: Solve for x
    x = 2,094,104,560,179.52/660,264.75
  6. Step 6: Final answer
    x = 3,171,613.45

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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.