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Finding the Third Proportional to 831,846 and 1,322,289

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Solution

The third proportional to 831,846 and 1,322,289 is: 2,101,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,846 : 1,322,289 = 1,322,289 : x
  2. Step 2: Convert to fraction form
    831,846/1,322,289 = 1,322,289/x
  3. Step 3: Cross multiply
    831,846x = 1,322,289 × 1,322,289
  4. Step 4: Simplify right side
    831,846x = 1,748,448,199,521
  5. Step 5: Solve for x
    x = 1,748,448,199,521/831,846
  6. Step 6: Final answer
    x = 2,101,889.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.