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Finding the Third Proportional to 616,847 and 1,427,913

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Solution

The third proportional to 616,847 and 1,427,913 is: 3,305,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,847 : 1,427,913 = 1,427,913 : x
  2. Step 2: Convert to fraction form
    616,847/1,427,913 = 1,427,913/x
  3. Step 3: Cross multiply
    616,847x = 1,427,913 × 1,427,913
  4. Step 4: Simplify right side
    616,847x = 2,038,935,535,569
  5. Step 5: Solve for x
    x = 2,038,935,535,569/616,847
  6. Step 6: Final answer
    x = 3,305,415.34

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.