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Finding the Third Proportional to 738,502 and 1,589,998

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Solution

The third proportional to 738,502 and 1,589,998 is: 3,423,272.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,502 : 1,589,998 = 1,589,998 : x
  2. Step 2: Convert to fraction form
    738,502/1,589,998 = 1,589,998/x
  3. Step 3: Cross multiply
    738,502x = 1,589,998 × 1,589,998
  4. Step 4: Simplify right side
    738,502x = 2,528,093,640,004
  5. Step 5: Solve for x
    x = 2,528,093,640,004/738,502
  6. Step 6: Final answer
    x = 3,423,272.57

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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.