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Finding the Third Proportional to 735,188 and 1,124,408

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Solution

The third proportional to 735,188 and 1,124,408 is: 1,719,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,188 : 1,124,408 = 1,124,408 : x
  2. Step 2: Convert to fraction form
    735,188/1,124,408 = 1,124,408/x
  3. Step 3: Cross multiply
    735,188x = 1,124,408 × 1,124,408
  4. Step 4: Simplify right side
    735,188x = 1,264,293,350,464
  5. Step 5: Solve for x
    x = 1,264,293,350,464/735,188
  6. Step 6: Final answer
    x = 1,719,687.14

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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.