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Finding the Third Proportional to 1,114,901 and 1,682,800.50

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Solution

The third proportional to 1,114,901 and 1,682,800.50 is: 2,539,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114,901 : 1,682,800.50 = 1,682,800.50 : x
  2. Step 2: Convert to fraction form
    1,114,901/1,682,800.50 = 1,682,800.50/x
  3. Step 3: Cross multiply
    1,114,901x = 1,682,800.50 × 1,682,800.50
  4. Step 4: Simplify right side
    1,114,901x = 2,831,817,522,800.25
  5. Step 5: Solve for x
    x = 2,831,817,522,800.25/1,114,901
  6. Step 6: Final answer
    x = 2,539,972.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.