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Finding the Third Proportional to 997,520 and 2,152,504

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Solution

The third proportional to 997,520 and 2,152,504 is: 4,644,792.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,520 : 2,152,504 = 2,152,504 : x
  2. Step 2: Convert to fraction form
    997,520/2,152,504 = 2,152,504/x
  3. Step 3: Cross multiply
    997,520x = 2,152,504 × 2,152,504
  4. Step 4: Simplify right side
    997,520x = 4,633,273,470,016
  5. Step 5: Solve for x
    x = 4,633,273,470,016/997,520
  6. Step 6: Final answer
    x = 4,644,792.56

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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.