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Finding the Third Proportional to 831,272 and 1,804,240

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Solution

The third proportional to 831,272 and 1,804,240 is: 3,916,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,272 : 1,804,240 = 1,804,240 : x
  2. Step 2: Convert to fraction form
    831,272/1,804,240 = 1,804,240/x
  3. Step 3: Cross multiply
    831,272x = 1,804,240 × 1,804,240
  4. Step 4: Simplify right side
    831,272x = 3,255,281,977,600
  5. Step 5: Solve for x
    x = 3,255,281,977,600/831,272
  6. Step 6: Final answer
    x = 3,916,025.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.