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Finding the Third Proportional to 684,856 and 1,475,120

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Solution

The third proportional to 684,856 and 1,475,120 is: 3,177,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,856 : 1,475,120 = 1,475,120 : x
  2. Step 2: Convert to fraction form
    684,856/1,475,120 = 1,475,120/x
  3. Step 3: Cross multiply
    684,856x = 1,475,120 × 1,475,120
  4. Step 4: Simplify right side
    684,856x = 2,175,979,014,400
  5. Step 5: Solve for x
    x = 2,175,979,014,400/684,856
  6. Step 6: Final answer
    x = 3,177,279.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.