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Finding the Third Proportional to 1,002,406 and 1,448,303.50

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Solution

The third proportional to 1,002,406 and 1,448,303.50 is: 2,092,548.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,406 : 1,448,303.50 = 1,448,303.50 : x
  2. Step 2: Convert to fraction form
    1,002,406/1,448,303.50 = 1,448,303.50/x
  3. Step 3: Cross multiply
    1,002,406x = 1,448,303.50 × 1,448,303.50
  4. Step 4: Simplify right side
    1,002,406x = 2,097,583,028,112.25
  5. Step 5: Solve for x
    x = 2,097,583,028,112.25/1,002,406
  6. Step 6: Final answer
    x = 2,092,548.36

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.