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Finding the Third Proportional to 1,052,028 and 1,504,291.50

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Solution

The third proportional to 1,052,028 and 1,504,291.50 is: 2,150,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,028 : 1,504,291.50 = 1,504,291.50 : x
  2. Step 2: Convert to fraction form
    1,052,028/1,504,291.50 = 1,504,291.50/x
  3. Step 3: Cross multiply
    1,052,028x = 1,504,291.50 × 1,504,291.50
  4. Step 4: Simplify right side
    1,052,028x = 2,262,892,916,972.25
  5. Step 5: Solve for x
    x = 2,262,892,916,972.25/1,052,028
  6. Step 6: Final answer
    x = 2,150,981.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.