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Finding the Third Proportional to 856,904.06 and 1,831,906.13

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Solution

The third proportional to 856,904.06 and 1,831,906.13 is: 3,916,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,904.06 : 1,831,906.13 = 1,831,906.13 : x
  2. Step 2: Convert to fraction form
    856,904.06/1,831,906.13 = 1,831,906.13/x
  3. Step 3: Cross multiply
    856,904.06x = 1,831,906.13 × 1,831,906.13
  4. Step 4: Simplify right side
    856,904.06x = 3,355,880,050,812.52
  5. Step 5: Solve for x
    x = 3,355,880,050,812.52/856,904.06
  6. Step 6: Final answer
    x = 3,916,284.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.