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Finding the Third Proportional to 1,831,756.50 and 2,802,030.75

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Solution

The third proportional to 1,831,756.50 and 2,802,030.75 is: 4,286,255.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,756.50 : 2,802,030.75 = 2,802,030.75 : x
  2. Step 2: Convert to fraction form
    1,831,756.50/2,802,030.75 = 2,802,030.75/x
  3. Step 3: Cross multiply
    1,831,756.50x = 2,802,030.75 × 2,802,030.75
  4. Step 4: Simplify right side
    1,831,756.50x = 7,851,376,323,945.56
  5. Step 5: Solve for x
    x = 7,851,376,323,945.56/1,831,756.50
  6. Step 6: Final answer
    x = 4,286,255.47

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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.