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Finding the Third Proportional to 2,527,948 and 3,576,970

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Solution

The third proportional to 2,527,948 and 3,576,970 is: 5,061,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,948 : 3,576,970 = 3,576,970 : x
  2. Step 2: Convert to fraction form
    2,527,948/3,576,970 = 3,576,970/x
  3. Step 3: Cross multiply
    2,527,948x = 3,576,970 × 3,576,970
  4. Step 4: Simplify right side
    2,527,948x = 12,794,714,380,900
  5. Step 5: Solve for x
    x = 12,794,714,380,900/2,527,948
  6. Step 6: Final answer
    x = 5,061,304.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.