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Finding the Third Proportional to 2,096,768 and 4,586,098

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Solution

The third proportional to 2,096,768 and 4,586,098 is: 10,030,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,768 : 4,586,098 = 4,586,098 : x
  2. Step 2: Convert to fraction form
    2,096,768/4,586,098 = 4,586,098/x
  3. Step 3: Cross multiply
    2,096,768x = 4,586,098 × 4,586,098
  4. Step 4: Simplify right side
    2,096,768x = 21,032,294,865,604
  5. Step 5: Solve for x
    x = 21,032,294,865,604/2,096,768
  6. Step 6: Final answer
    x = 10,030,816.41

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Why These Related Problems?

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