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Finding the Third Proportional to 684,670.50 and 1,477,599

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Solution

The third proportional to 684,670.50 and 1,477,599 is: 3,188,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,670.50 : 1,477,599 = 1,477,599 : x
  2. Step 2: Convert to fraction form
    684,670.50/1,477,599 = 1,477,599/x
  3. Step 3: Cross multiply
    684,670.50x = 1,477,599 × 1,477,599
  4. Step 4: Simplify right side
    684,670.50x = 2,183,298,804,801
  5. Step 5: Solve for x
    x = 2,183,298,804,801/684,670.50
  6. Step 6: Final answer
    x = 3,188,831.42

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