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Finding the Third Proportional to 2,096,741 and 4,586,048

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Solution

The third proportional to 2,096,741 and 4,586,048 is: 10,030,726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,741 : 4,586,048 = 4,586,048 : x
  2. Step 2: Convert to fraction form
    2,096,741/4,586,048 = 4,586,048/x
  3. Step 3: Cross multiply
    2,096,741x = 4,586,048 × 4,586,048
  4. Step 4: Simplify right side
    2,096,741x = 21,031,836,258,304
  5. Step 5: Solve for x
    x = 21,031,836,258,304/2,096,741
  6. Step 6: Final answer
    x = 10,030,726.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.