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Finding the Third Proportional to 831,494.25 and 1,796,044.50

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Solution

The third proportional to 831,494.25 and 1,796,044.50 is: 3,879,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,494.25 : 1,796,044.50 = 1,796,044.50 : x
  2. Step 2: Convert to fraction form
    831,494.25/1,796,044.50 = 1,796,044.50/x
  3. Step 3: Cross multiply
    831,494.25x = 1,796,044.50 × 1,796,044.50
  4. Step 4: Simplify right side
    831,494.25x = 3,225,775,845,980.25
  5. Step 5: Solve for x
    x = 3,225,775,845,980.25/831,494.25
  6. Step 6: Final answer
    x = 3,879,492.67

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Why These Related Problems?

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