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Finding the Third Proportional to 2,161,960 and 4,739,024

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Solution

The third proportional to 2,161,960 and 4,739,024 is: 10,387,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161,960 : 4,739,024 = 4,739,024 : x
  2. Step 2: Convert to fraction form
    2,161,960/4,739,024 = 4,739,024/x
  3. Step 3: Cross multiply
    2,161,960x = 4,739,024 × 4,739,024
  4. Step 4: Simplify right side
    2,161,960x = 22,458,348,472,576
  5. Step 5: Solve for x
    x = 22,458,348,472,576/2,161,960
  6. Step 6: Final answer
    x = 10,387,957.44

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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.