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Finding the Third Proportional to 1,604,733 and 3,462,255

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Solution

The third proportional to 1,604,733 and 3,462,255 is: 7,469,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,733 : 3,462,255 = 3,462,255 : x
  2. Step 2: Convert to fraction form
    1,604,733/3,462,255 = 3,462,255/x
  3. Step 3: Cross multiply
    1,604,733x = 3,462,255 × 3,462,255
  4. Step 4: Simplify right side
    1,604,733x = 11,987,209,685,025
  5. Step 5: Solve for x
    x = 11,987,209,685,025/1,604,733
  6. Step 6: Final answer
    x = 7,469,909.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.