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Finding the Third Proportional to 2,097,840 and 4,600,032

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Solution

The third proportional to 2,097,840 and 4,600,032 is: 10,086,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,840 : 4,600,032 = 4,600,032 : x
  2. Step 2: Convert to fraction form
    2,097,840/4,600,032 = 4,600,032/x
  3. Step 3: Cross multiply
    2,097,840x = 4,600,032 × 4,600,032
  4. Step 4: Simplify right side
    2,097,840x = 21,160,294,401,024
  5. Step 5: Solve for x
    x = 21,160,294,401,024/2,097,840
  6. Step 6: Final answer
    x = 10,086,705.56

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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.