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Finding the Third Proportional to 2,853,811 and 4,178,332

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Solution

The third proportional to 2,853,811 and 4,178,332 is: 6,117,594.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853,811 : 4,178,332 = 4,178,332 : x
  2. Step 2: Convert to fraction form
    2,853,811/4,178,332 = 4,178,332/x
  3. Step 3: Cross multiply
    2,853,811x = 4,178,332 × 4,178,332
  4. Step 4: Simplify right side
    2,853,811x = 17,458,458,302,224
  5. Step 5: Solve for x
    x = 17,458,458,302,224/2,853,811
  6. Step 6: Final answer
    x = 6,117,594.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.