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Finding the Third Proportional to 1,708,820 and 3,638,500

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Solution

The third proportional to 1,708,820 and 3,638,500 is: 7,747,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,820 : 3,638,500 = 3,638,500 : x
  2. Step 2: Convert to fraction form
    1,708,820/3,638,500 = 3,638,500/x
  3. Step 3: Cross multiply
    1,708,820x = 3,638,500 × 3,638,500
  4. Step 4: Simplify right side
    1,708,820x = 13,238,682,250,000
  5. Step 5: Solve for x
    x = 13,238,682,250,000/1,708,820
  6. Step 6: Final answer
    x = 7,747,265.51

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.