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Finding the Third Proportional to 561,352 and 1,353,381

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Solution

The third proportional to 561,352 and 1,353,381 is: 3,262,908.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,352 : 1,353,381 = 1,353,381 : x
  2. Step 2: Convert to fraction form
    561,352/1,353,381 = 1,353,381/x
  3. Step 3: Cross multiply
    561,352x = 1,353,381 × 1,353,381
  4. Step 4: Simplify right side
    561,352x = 1,831,640,131,161
  5. Step 5: Solve for x
    x = 1,831,640,131,161/561,352
  6. Step 6: Final answer
    x = 3,262,908.36

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.