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Finding the Third Proportional to 689,577 and 1,462,083

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Solution

The third proportional to 689,577 and 1,462,083 is: 3,099,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,577 : 1,462,083 = 1,462,083 : x
  2. Step 2: Convert to fraction form
    689,577/1,462,083 = 1,462,083/x
  3. Step 3: Cross multiply
    689,577x = 1,462,083 × 1,462,083
  4. Step 4: Simplify right side
    689,577x = 2,137,686,698,889
  5. Step 5: Solve for x
    x = 2,137,686,698,889/689,577
  6. Step 6: Final answer
    x = 3,099,997.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.