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Finding the Third Proportional to 831,155 and 1,804,181

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Solution

The third proportional to 831,155 and 1,804,181 is: 3,916,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,155 : 1,804,181 = 1,804,181 : x
  2. Step 2: Convert to fraction form
    831,155/1,804,181 = 1,804,181/x
  3. Step 3: Cross multiply
    831,155x = 1,804,181 × 1,804,181
  4. Step 4: Simplify right side
    831,155x = 3,255,069,080,761
  5. Step 5: Solve for x
    x = 3,255,069,080,761/831,155
  6. Step 6: Final answer
    x = 3,916,320.16

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Why These Related Problems?

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