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Finding the Third Proportional to 2,097,099 and 4,586,697

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Solution

The third proportional to 2,097,099 and 4,586,697 is: 10,031,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,099 : 4,586,697 = 4,586,697 : x
  2. Step 2: Convert to fraction form
    2,097,099/4,586,697 = 4,586,697/x
  3. Step 3: Cross multiply
    2,097,099x = 4,586,697 × 4,586,697
  4. Step 4: Simplify right side
    2,097,099x = 21,037,789,369,809
  5. Step 5: Solve for x
    x = 21,037,789,369,809/2,097,099
  6. Step 6: Final answer
    x = 10,031,853.23

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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.