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Finding the Third Proportional to 2,096,766 and 4,586,094

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Solution

The third proportional to 2,096,766 and 4,586,094 is: 10,030,808.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,766 : 4,586,094 = 4,586,094 : x
  2. Step 2: Convert to fraction form
    2,096,766/4,586,094 = 4,586,094/x
  3. Step 3: Cross multiply
    2,096,766x = 4,586,094 × 4,586,094
  4. Step 4: Simplify right side
    2,096,766x = 21,032,258,176,836
  5. Step 5: Solve for x
    x = 21,032,258,176,836/2,096,766
  6. Step 6: Final answer
    x = 10,030,808.48

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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.