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Finding the Third Proportional to 1,842,784 and 2,789,944

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Solution

The third proportional to 1,842,784 and 2,789,944 is: 4,223,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842,784 : 2,789,944 = 2,789,944 : x
  2. Step 2: Convert to fraction form
    1,842,784/2,789,944 = 2,789,944/x
  3. Step 3: Cross multiply
    1,842,784x = 2,789,944 × 2,789,944
  4. Step 4: Simplify right side
    1,842,784x = 7,783,787,523,136
  5. Step 5: Solve for x
    x = 7,783,787,523,136/1,842,784
  6. Step 6: Final answer
    x = 4,223,928.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.