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Finding the Third Proportional to 735,640 and 1,124,840

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Solution

The third proportional to 735,640 and 1,124,840 is: 1,719,951.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,640 : 1,124,840 = 1,124,840 : x
  2. Step 2: Convert to fraction form
    735,640/1,124,840 = 1,124,840/x
  3. Step 3: Cross multiply
    735,640x = 1,124,840 × 1,124,840
  4. Step 4: Simplify right side
    735,640x = 1,265,265,025,600
  5. Step 5: Solve for x
    x = 1,265,265,025,600/735,640
  6. Step 6: Final answer
    x = 1,719,951.37

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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.