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Finding the Third Proportional to 1,008,875.25 and 1,542,867.75

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Solution

The third proportional to 1,008,875.25 and 1,542,867.75 is: 2,359,499.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008,875.25 : 1,542,867.75 = 1,542,867.75 : x
  2. Step 2: Convert to fraction form
    1,008,875.25/1,542,867.75 = 1,542,867.75/x
  3. Step 3: Cross multiply
    1,008,875.25x = 1,542,867.75 × 1,542,867.75
  4. Step 4: Simplify right side
    1,008,875.25x = 2,380,440,893,990.06
  5. Step 5: Solve for x
    x = 2,380,440,893,990.06/1,008,875.25
  6. Step 6: Final answer
    x = 2,359,499.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.