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Finding the Third Proportional to 735,200 and 1,124,427

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Solution

The third proportional to 735,200 and 1,124,427 is: 1,719,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,200 : 1,124,427 = 1,124,427 : x
  2. Step 2: Convert to fraction form
    735,200/1,124,427 = 1,124,427/x
  3. Step 3: Cross multiply
    735,200x = 1,124,427 × 1,124,427
  4. Step 4: Simplify right side
    735,200x = 1,264,336,078,329
  5. Step 5: Solve for x
    x = 1,264,336,078,329/735,200
  6. Step 6: Final answer
    x = 1,719,717.19

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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.