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Finding the Third Proportional to 1,583,663 and 2,151,601

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Solution

The third proportional to 1,583,663 and 2,151,601 is: 2,923,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,663 : 2,151,601 = 2,151,601 : x
  2. Step 2: Convert to fraction form
    1,583,663/2,151,601 = 2,151,601/x
  3. Step 3: Cross multiply
    1,583,663x = 2,151,601 × 2,151,601
  4. Step 4: Simplify right side
    1,583,663x = 4,629,386,863,201
  5. Step 5: Solve for x
    x = 4,629,386,863,201/1,583,663
  6. Step 6: Final answer
    x = 2,923,214.64

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.