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Finding the Third Proportional to 1,022,366 and 1,603,920

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Solution

The third proportional to 1,022,366 and 1,603,920 is: 2,516,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,366 : 1,603,920 = 1,603,920 : x
  2. Step 2: Convert to fraction form
    1,022,366/1,603,920 = 1,603,920/x
  3. Step 3: Cross multiply
    1,022,366x = 1,603,920 × 1,603,920
  4. Step 4: Simplify right side
    1,022,366x = 2,572,559,366,400
  5. Step 5: Solve for x
    x = 2,572,559,366,400/1,022,366
  6. Step 6: Final answer
    x = 2,516,280.24

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