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Finding the Third Proportional to 1,831,163 and 4,112,659

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Solution

The third proportional to 1,831,163 and 4,112,659 is: 9,236,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,163 : 4,112,659 = 4,112,659 : x
  2. Step 2: Convert to fraction form
    1,831,163/4,112,659 = 4,112,659/x
  3. Step 3: Cross multiply
    1,831,163x = 4,112,659 × 4,112,659
  4. Step 4: Simplify right side
    1,831,163x = 16,913,964,050,281
  5. Step 5: Solve for x
    x = 16,913,964,050,281/1,831,163
  6. Step 6: Final answer
    x = 9,236,733.19

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.