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Finding the Third Proportional to 738,920 and 1,595,728

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Solution

The third proportional to 738,920 and 1,595,728 is: 3,446,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,920 : 1,595,728 = 1,595,728 : x
  2. Step 2: Convert to fraction form
    738,920/1,595,728 = 1,595,728/x
  3. Step 3: Cross multiply
    738,920x = 1,595,728 × 1,595,728
  4. Step 4: Simplify right side
    738,920x = 2,546,347,849,984
  5. Step 5: Solve for x
    x = 2,546,347,849,984/738,920
  6. Step 6: Final answer
    x = 3,446,039.96

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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.