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Finding the Third Proportional to 735,408 and 1,588,982.63

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Solution

The third proportional to 735,408 and 1,588,982.63 is: 3,433,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,408 : 1,588,982.63 = 1,588,982.63 : x
  2. Step 2: Convert to fraction form
    735,408/1,588,982.63 = 1,588,982.63/x
  3. Step 3: Cross multiply
    735,408x = 1,588,982.63 × 1,588,982.63
  4. Step 4: Simplify right side
    735,408x = 2,524,865,782,551.89
  5. Step 5: Solve for x
    x = 2,524,865,782,551.89/735,408
  6. Step 6: Final answer
    x = 3,433,285.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.