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Finding the Third Proportional to 854,077 and 1,255,413

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Solution

The third proportional to 854,077 and 1,255,413 is: 1,845,339.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,077 : 1,255,413 = 1,255,413 : x
  2. Step 2: Convert to fraction form
    854,077/1,255,413 = 1,255,413/x
  3. Step 3: Cross multiply
    854,077x = 1,255,413 × 1,255,413
  4. Step 4: Simplify right side
    854,077x = 1,576,061,800,569
  5. Step 5: Solve for x
    x = 1,576,061,800,569/854,077
  6. Step 6: Final answer
    x = 1,845,339.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.