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Finding the Third Proportional to 1,022,877 and 1,534,315.50

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Solution

The third proportional to 1,022,877 and 1,534,315.50 is: 2,301,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,877 : 1,534,315.50 = 1,534,315.50 : x
  2. Step 2: Convert to fraction form
    1,022,877/1,534,315.50 = 1,534,315.50/x
  3. Step 3: Cross multiply
    1,022,877x = 1,534,315.50 × 1,534,315.50
  4. Step 4: Simplify right side
    1,022,877x = 2,354,124,053,540.25
  5. Step 5: Solve for x
    x = 2,354,124,053,540.25/1,022,877
  6. Step 6: Final answer
    x = 2,301,473.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.