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Finding the Third Proportional to 735,168 and 1,124,381

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Solution

The third proportional to 735,168 and 1,124,381 is: 1,719,651.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,168 : 1,124,381 = 1,124,381 : x
  2. Step 2: Convert to fraction form
    735,168/1,124,381 = 1,124,381/x
  3. Step 3: Cross multiply
    735,168x = 1,124,381 × 1,124,381
  4. Step 4: Simplify right side
    735,168x = 1,264,232,633,161
  5. Step 5: Solve for x
    x = 1,264,232,633,161/735,168
  6. Step 6: Final answer
    x = 1,719,651.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.