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Finding the Third Proportional to 727,454 and 1,580,836

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Solution

The third proportional to 727,454 and 1,580,836 is: 3,435,327.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,454 : 1,580,836 = 1,580,836 : x
  2. Step 2: Convert to fraction form
    727,454/1,580,836 = 1,580,836/x
  3. Step 3: Cross multiply
    727,454x = 1,580,836 × 1,580,836
  4. Step 4: Simplify right side
    727,454x = 2,499,042,458,896
  5. Step 5: Solve for x
    x = 2,499,042,458,896/727,454
  6. Step 6: Final answer
    x = 3,435,327.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.