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Finding the Third Proportional to 736,906 and 1,628,708

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Solution

The third proportional to 736,906 and 1,628,708 is: 3,599,766.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,906 : 1,628,708 = 1,628,708 : x
  2. Step 2: Convert to fraction form
    736,906/1,628,708 = 1,628,708/x
  3. Step 3: Cross multiply
    736,906x = 1,628,708 × 1,628,708
  4. Step 4: Simplify right side
    736,906x = 2,652,689,749,264
  5. Step 5: Solve for x
    x = 2,652,689,749,264/736,906
  6. Step 6: Final answer
    x = 3,599,766.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.