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Finding the Third Proportional to 1,724,712.75 and 3,628,192.50

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Solution

The third proportional to 1,724,712.75 and 3,628,192.50 is: 7,632,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,712.75 : 3,628,192.50 = 3,628,192.50 : x
  2. Step 2: Convert to fraction form
    1,724,712.75/3,628,192.50 = 3,628,192.50/x
  3. Step 3: Cross multiply
    1,724,712.75x = 3,628,192.50 × 3,628,192.50
  4. Step 4: Simplify right side
    1,724,712.75x = 13,163,780,817,056.25
  5. Step 5: Solve for x
    x = 13,163,780,817,056.25/1,724,712.75
  6. Step 6: Final answer
    x = 7,632,448.25

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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.