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Finding the Third Proportional to 584,600.63 and 1,256,225.63

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Solution

The third proportional to 584,600.63 and 1,256,225.63 is: 2,699,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,600.63 : 1,256,225.63 = 1,256,225.63 : x
  2. Step 2: Convert to fraction form
    584,600.63/1,256,225.63 = 1,256,225.63/x
  3. Step 3: Cross multiply
    584,600.63x = 1,256,225.63 × 1,256,225.63
  4. Step 4: Simplify right side
    584,600.63x = 1,578,102,820,906.64
  5. Step 5: Solve for x
    x = 1,578,102,820,906.64/584,600.63
  6. Step 6: Final answer
    x = 2,699,454.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.