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Finding the Third Proportional to 554,981.63 and 1,188,695.25

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Solution

The third proportional to 554,981.63 and 1,188,695.25 is: 2,546,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,981.63 : 1,188,695.25 = 1,188,695.25 : x
  2. Step 2: Convert to fraction form
    554,981.63/1,188,695.25 = 1,188,695.25/x
  3. Step 3: Cross multiply
    554,981.63x = 1,188,695.25 × 1,188,695.25
  4. Step 4: Simplify right side
    554,981.63x = 1,412,996,397,372.56
  5. Step 5: Solve for x
    x = 1,412,996,397,372.56/554,981.63
  6. Step 6: Final answer
    x = 2,546,023.75

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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.