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Finding the Third Proportional to 1,831,869.50 and 3,915,836.50

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Solution

The third proportional to 1,831,869.50 and 3,915,836.50 is: 8,370,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,869.50 : 3,915,836.50 = 3,915,836.50 : x
  2. Step 2: Convert to fraction form
    1,831,869.50/3,915,836.50 = 3,915,836.50/x
  3. Step 3: Cross multiply
    1,831,869.50x = 3,915,836.50 × 3,915,836.50
  4. Step 4: Simplify right side
    1,831,869.50x = 15,333,775,494,732.25
  5. Step 5: Solve for x
    x = 15,333,775,494,732.25/1,831,869.50
  6. Step 6: Final answer
    x = 8,370,561.06

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.