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Finding the Third Proportional to 1,583,797 and 3,466,910

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Solution

The third proportional to 1,583,797 and 3,466,910 is: 7,589,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,797 : 3,466,910 = 3,466,910 : x
  2. Step 2: Convert to fraction form
    1,583,797/3,466,910 = 3,466,910/x
  3. Step 3: Cross multiply
    1,583,797x = 3,466,910 × 3,466,910
  4. Step 4: Simplify right side
    1,583,797x = 12,019,464,948,100
  5. Step 5: Solve for x
    x = 12,019,464,948,100/1,583,797
  6. Step 6: Final answer
    x = 7,589,018.64

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.