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Finding the Third Proportional to 2,096,729 and 4,586,024

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Solution

The third proportional to 2,096,729 and 4,586,024 is: 10,030,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096,729 : 4,586,024 = 4,586,024 : x
  2. Step 2: Convert to fraction form
    2,096,729/4,586,024 = 4,586,024/x
  3. Step 3: Cross multiply
    2,096,729x = 4,586,024 × 4,586,024
  4. Step 4: Simplify right side
    2,096,729x = 21,031,616,128,576
  5. Step 5: Solve for x
    x = 21,031,616,128,576/2,096,729
  6. Step 6: Final answer
    x = 10,030,679.28

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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.