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Finding the Third Proportional to 1,665,462 and 3,583,524

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Solution

The third proportional to 1,665,462 and 3,583,524 is: 7,710,559.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665,462 : 3,583,524 = 3,583,524 : x
  2. Step 2: Convert to fraction form
    1,665,462/3,583,524 = 3,583,524/x
  3. Step 3: Cross multiply
    1,665,462x = 3,583,524 × 3,583,524
  4. Step 4: Simplify right side
    1,665,462x = 12,841,644,258,576
  5. Step 5: Solve for x
    x = 12,841,644,258,576/1,665,462
  6. Step 6: Final answer
    x = 7,710,559.75

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.