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Finding the Third Proportional to 559,124 and 1,206,774

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Solution

The third proportional to 559,124 and 1,206,774 is: 2,604,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,124 : 1,206,774 = 1,206,774 : x
  2. Step 2: Convert to fraction form
    559,124/1,206,774 = 1,206,774/x
  3. Step 3: Cross multiply
    559,124x = 1,206,774 × 1,206,774
  4. Step 4: Simplify right side
    559,124x = 1,456,303,487,076
  5. Step 5: Solve for x
    x = 1,456,303,487,076/559,124
  6. Step 6: Final answer
    x = 2,604,616.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.