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Finding the Third Proportional to 676,402 and 1,599,628

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Solution

The third proportional to 676,402 and 1,599,628 is: 3,782,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,402 : 1,599,628 = 1,599,628 : x
  2. Step 2: Convert to fraction form
    676,402/1,599,628 = 1,599,628/x
  3. Step 3: Cross multiply
    676,402x = 1,599,628 × 1,599,628
  4. Step 4: Simplify right side
    676,402x = 2,558,809,738,384
  5. Step 5: Solve for x
    x = 2,558,809,738,384/676,402
  6. Step 6: Final answer
    x = 3,782,971.87

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.