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Finding the Third Proportional to 735,902 and 1,079,625

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Solution

The third proportional to 735,902 and 1,079,625 is: 1,583,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,902 : 1,079,625 = 1,079,625 : x
  2. Step 2: Convert to fraction form
    735,902/1,079,625 = 1,079,625/x
  3. Step 3: Cross multiply
    735,902x = 1,079,625 × 1,079,625
  4. Step 4: Simplify right side
    735,902x = 1,165,590,140,625
  5. Step 5: Solve for x
    x = 1,165,590,140,625/735,902
  6. Step 6: Final answer
    x = 1,583,893.16

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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.