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Finding the Third Proportional to 735,890 and 1,079,600

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Solution

The third proportional to 735,890 and 1,079,600 is: 1,583,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,890 : 1,079,600 = 1,079,600 : x
  2. Step 2: Convert to fraction form
    735,890/1,079,600 = 1,079,600/x
  3. Step 3: Cross multiply
    735,890x = 1,079,600 × 1,079,600
  4. Step 4: Simplify right side
    735,890x = 1,165,536,160,000
  5. Step 5: Solve for x
    x = 1,165,536,160,000/735,890
  6. Step 6: Final answer
    x = 1,583,845.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.