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Finding the Third Proportional to 585,151.50 and 1,253,247

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Solution

The third proportional to 585,151.50 and 1,253,247 is: 2,684,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,151.50 : 1,253,247 = 1,253,247 : x
  2. Step 2: Convert to fraction form
    585,151.50/1,253,247 = 1,253,247/x
  3. Step 3: Cross multiply
    585,151.50x = 1,253,247 × 1,253,247
  4. Step 4: Simplify right side
    585,151.50x = 1,570,628,043,009
  5. Step 5: Solve for x
    x = 1,570,628,043,009/585,151.50
  6. Step 6: Final answer
    x = 2,684,139.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.