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Finding the Third Proportional to 1,724,719 and 3,628,184

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Solution

The third proportional to 1,724,719 and 3,628,184 is: 7,632,384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,719 : 3,628,184 = 3,628,184 : x
  2. Step 2: Convert to fraction form
    1,724,719/3,628,184 = 3,628,184/x
  3. Step 3: Cross multiply
    1,724,719x = 3,628,184 × 3,628,184
  4. Step 4: Simplify right side
    1,724,719x = 13,163,719,137,856
  5. Step 5: Solve for x
    x = 13,163,719,137,856/1,724,719
  6. Step 6: Final answer
    x = 7,632,384.83

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