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Finding the Third Proportional to 1,307,047.50 and 2,831,202

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Solution

The third proportional to 1,307,047.50 and 2,831,202 is: 6,132,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,047.50 : 2,831,202 = 2,831,202 : x
  2. Step 2: Convert to fraction form
    1,307,047.50/2,831,202 = 2,831,202/x
  3. Step 3: Cross multiply
    1,307,047.50x = 2,831,202 × 2,831,202
  4. Step 4: Simplify right side
    1,307,047.50x = 8,015,704,764,804
  5. Step 5: Solve for x
    x = 8,015,704,764,804/1,307,047.50
  6. Step 6: Final answer
    x = 6,132,680.54

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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.