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Finding the Third Proportional to 566,737 and 1,197,434

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Solution

The third proportional to 566,737 and 1,197,434 is: 2,530,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,737 : 1,197,434 = 1,197,434 : x
  2. Step 2: Convert to fraction form
    566,737/1,197,434 = 1,197,434/x
  3. Step 3: Cross multiply
    566,737x = 1,197,434 × 1,197,434
  4. Step 4: Simplify right side
    566,737x = 1,433,848,184,356
  5. Step 5: Solve for x
    x = 1,433,848,184,356/566,737
  6. Step 6: Final answer
    x = 2,530,006.31

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.