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Finding the Third Proportional to 584,494 and 1,256,390

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Solution

The third proportional to 584,494 and 1,256,390 is: 2,700,653.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,494 : 1,256,390 = 1,256,390 : x
  2. Step 2: Convert to fraction form
    584,494/1,256,390 = 1,256,390/x
  3. Step 3: Cross multiply
    584,494x = 1,256,390 × 1,256,390
  4. Step 4: Simplify right side
    584,494x = 1,578,515,832,100
  5. Step 5: Solve for x
    x = 1,578,515,832,100/584,494
  6. Step 6: Final answer
    x = 2,700,653.61

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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.