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Finding the Third Proportional to 598,590 and 1,301,913

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Solution

The third proportional to 598,590 and 1,301,913 is: 2,831,616.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,590 : 1,301,913 = 1,301,913 : x
  2. Step 2: Convert to fraction form
    598,590/1,301,913 = 1,301,913/x
  3. Step 3: Cross multiply
    598,590x = 1,301,913 × 1,301,913
  4. Step 4: Simplify right side
    598,590x = 1,694,977,459,569
  5. Step 5: Solve for x
    x = 1,694,977,459,569/598,590
  6. Step 6: Final answer
    x = 2,831,616.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.