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Finding the Third Proportional to 1,831,416 and 2,801,574

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Solution

The third proportional to 1,831,416 and 2,801,574 is: 4,285,654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,416 : 2,801,574 = 2,801,574 : x
  2. Step 2: Convert to fraction form
    1,831,416/2,801,574 = 2,801,574/x
  3. Step 3: Cross multiply
    1,831,416x = 2,801,574 × 2,801,574
  4. Step 4: Simplify right side
    1,831,416x = 7,848,816,877,476
  5. Step 5: Solve for x
    x = 7,848,816,877,476/1,831,416
  6. Step 6: Final answer
    x = 4,285,654.86

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.