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Finding the Third Proportional to 1,263,871 and 1,938,049.50

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Solution

The third proportional to 1,263,871 and 1,938,049.50 is: 2,971,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,871 : 1,938,049.50 = 1,938,049.50 : x
  2. Step 2: Convert to fraction form
    1,263,871/1,938,049.50 = 1,938,049.50/x
  3. Step 3: Cross multiply
    1,263,871x = 1,938,049.50 × 1,938,049.50
  4. Step 4: Simplify right side
    1,263,871x = 3,756,035,864,450.25
  5. Step 5: Solve for x
    x = 3,756,035,864,450.25/1,263,871
  6. Step 6: Final answer
    x = 2,971,850.66

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Why These Related Problems?

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