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Finding the Third Proportional to 1,022,285.81 and 1,603,800

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Solution

The third proportional to 1,022,285.81 and 1,603,800 is: 2,516,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,285.81 : 1,603,800 = 1,603,800 : x
  2. Step 2: Convert to fraction form
    1,022,285.81/1,603,800 = 1,603,800/x
  3. Step 3: Cross multiply
    1,022,285.81x = 1,603,800 × 1,603,800
  4. Step 4: Simplify right side
    1,022,285.81x = 2,572,174,440,000
  5. Step 5: Solve for x
    x = 2,572,174,440,000/1,022,285.81
  6. Step 6: Final answer
    x = 2,516,101.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.