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Finding the Third Proportional to 738,733.50 and 1,590,462

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Solution

The third proportional to 738,733.50 and 1,590,462 is: 3,424,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,733.50 : 1,590,462 = 1,590,462 : x
  2. Step 2: Convert to fraction form
    738,733.50/1,590,462 = 1,590,462/x
  3. Step 3: Cross multiply
    738,733.50x = 1,590,462 × 1,590,462
  4. Step 4: Simplify right side
    738,733.50x = 2,529,569,373,444
  5. Step 5: Solve for x
    x = 2,529,569,373,444/738,733.50
  6. Step 6: Final answer
    x = 3,424,197.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.