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Finding the Third Proportional to 1,619,784 and 3,544,668

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Solution

The third proportional to 1,619,784 and 3,544,668 is: 7,757,004.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,784 : 3,544,668 = 3,544,668 : x
  2. Step 2: Convert to fraction form
    1,619,784/3,544,668 = 3,544,668/x
  3. Step 3: Cross multiply
    1,619,784x = 3,544,668 × 3,544,668
  4. Step 4: Simplify right side
    1,619,784x = 12,564,671,230,224
  5. Step 5: Solve for x
    x = 12,564,671,230,224/1,619,784
  6. Step 6: Final answer
    x = 7,757,004.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.