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Finding the Third Proportional to 1,724,788 and 3,628,320

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Solution

The third proportional to 1,724,788 and 3,628,320 is: 7,632,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,788 : 3,628,320 = 3,628,320 : x
  2. Step 2: Convert to fraction form
    1,724,788/3,628,320 = 3,628,320/x
  3. Step 3: Cross multiply
    1,724,788x = 3,628,320 × 3,628,320
  4. Step 4: Simplify right side
    1,724,788x = 13,164,706,022,400
  5. Step 5: Solve for x
    x = 13,164,706,022,400/1,724,788
  6. Step 6: Final answer
    x = 7,632,651.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.