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Finding the Third Proportional to 831,789 and 1,245,838.22

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Solution

The third proportional to 831,789 and 1,245,838.22 is: 1,865,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,789 : 1,245,838.22 = 1,245,838.22 : x
  2. Step 2: Convert to fraction form
    831,789/1,245,838.22 = 1,245,838.22/x
  3. Step 3: Cross multiply
    831,789x = 1,245,838.22 × 1,245,838.22
  4. Step 4: Simplify right side
    831,789x = 1,552,112,867,298.17
  5. Step 5: Solve for x
    x = 1,552,112,867,298.17/831,789
  6. Step 6: Final answer
    x = 1,865,993.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.