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Finding the Third Proportional to 2,096,718 and 4,586,002

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Solution

The third proportional to 2,096,718 and 4,586,002 is: 10,030,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,718 : 4,586,002 = 4,586,002 : x
  2. Step 2: Convert to fraction form
    2,096,718/4,586,002 = 4,586,002/x
  3. Step 3: Cross multiply
    2,096,718x = 4,586,002 × 4,586,002
  4. Step 4: Simplify right side
    2,096,718x = 21,031,414,344,004
  5. Step 5: Solve for x
    x = 21,031,414,344,004/2,096,718
  6. Step 6: Final answer
    x = 10,030,635.66

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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.