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Finding the Third Proportional to 1,605,498 and 2,201,577

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Solution

The third proportional to 1,605,498 and 2,201,577 is: 3,018,964.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,498 : 2,201,577 = 2,201,577 : x
  2. Step 2: Convert to fraction form
    1,605,498/2,201,577 = 2,201,577/x
  3. Step 3: Cross multiply
    1,605,498x = 2,201,577 × 2,201,577
  4. Step 4: Simplify right side
    1,605,498x = 4,846,941,286,929
  5. Step 5: Solve for x
    x = 4,846,941,286,929/1,605,498
  6. Step 6: Final answer
    x = 3,018,964.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.