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Finding the Third Proportional to 660,274 and 1,447,122

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Solution

The third proportional to 660,274 and 1,447,122 is: 3,171,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,274 : 1,447,122 = 1,447,122 : x
  2. Step 2: Convert to fraction form
    660,274/1,447,122 = 1,447,122/x
  3. Step 3: Cross multiply
    660,274x = 1,447,122 × 1,447,122
  4. Step 4: Simplify right side
    660,274x = 2,094,162,082,884
  5. Step 5: Solve for x
    x = 2,094,162,082,884/660,274
  6. Step 6: Final answer
    x = 3,171,656.14

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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.