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Finding the Third Proportional to 1,012,824 and 1,603,800

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Solution

The third proportional to 1,012,824 and 1,603,800 is: 2,539,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012,824 : 1,603,800 = 1,603,800 : x
  2. Step 2: Convert to fraction form
    1,012,824/1,603,800 = 1,603,800/x
  3. Step 3: Cross multiply
    1,012,824x = 1,603,800 × 1,603,800
  4. Step 4: Simplify right side
    1,012,824x = 2,572,174,440,000
  5. Step 5: Solve for x
    x = 2,572,174,440,000/1,012,824
  6. Step 6: Final answer
    x = 2,539,606.53

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.