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Finding the Third Proportional to 519,746 and 1,119,700

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Solution

The third proportional to 519,746 and 1,119,700 is: 2,412,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,746 : 1,119,700 = 1,119,700 : x
  2. Step 2: Convert to fraction form
    519,746/1,119,700 = 1,119,700/x
  3. Step 3: Cross multiply
    519,746x = 1,119,700 × 1,119,700
  4. Step 4: Simplify right side
    519,746x = 1,253,728,090,000
  5. Step 5: Solve for x
    x = 1,253,728,090,000/519,746
  6. Step 6: Final answer
    x = 2,412,193.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.