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Finding the Third Proportional to 2,141,784 and 4,461,136

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Solution

The third proportional to 2,141,784 and 4,461,136 is: 9,292,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141,784 : 4,461,136 = 4,461,136 : x
  2. Step 2: Convert to fraction form
    2,141,784/4,461,136 = 4,461,136/x
  3. Step 3: Cross multiply
    2,141,784x = 4,461,136 × 4,461,136
  4. Step 4: Simplify right side
    2,141,784x = 19,901,734,410,496
  5. Step 5: Solve for x
    x = 19,901,734,410,496/2,141,784
  6. Step 6: Final answer
    x = 9,292,129.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.