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Finding the Third Proportional to 699,344 and 1,457,728

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Solution

The third proportional to 699,344 and 1,457,728 is: 3,038,520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,344 : 1,457,728 = 1,457,728 : x
  2. Step 2: Convert to fraction form
    699,344/1,457,728 = 1,457,728/x
  3. Step 3: Cross multiply
    699,344x = 1,457,728 × 1,457,728
  4. Step 4: Simplify right side
    699,344x = 2,124,970,921,984
  5. Step 5: Solve for x
    x = 2,124,970,921,984/699,344
  6. Step 6: Final answer
    x = 3,038,520.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.