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Finding the Third Proportional to 660,261.38 and 1,447,095.38

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Solution

The third proportional to 660,261.38 and 1,447,095.38 is: 3,171,600.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,261.38 : 1,447,095.38 = 1,447,095.38 : x
  2. Step 2: Convert to fraction form
    660,261.38/1,447,095.38 = 1,447,095.38/x
  3. Step 3: Cross multiply
    660,261.38x = 1,447,095.38 × 1,447,095.38
  4. Step 4: Simplify right side
    660,261.38x = 2,094,085,024,346.39
  5. Step 5: Solve for x
    x = 2,094,085,024,346.39/660,261.38
  6. Step 6: Final answer
    x = 3,171,600.07

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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.