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Finding the Third Proportional to 754,138 and 1,626,356

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Solution

The third proportional to 754,138 and 1,626,356 is: 3,507,360.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,138 : 1,626,356 = 1,626,356 : x
  2. Step 2: Convert to fraction form
    754,138/1,626,356 = 1,626,356/x
  3. Step 3: Cross multiply
    754,138x = 1,626,356 × 1,626,356
  4. Step 4: Simplify right side
    754,138x = 2,645,033,838,736
  5. Step 5: Solve for x
    x = 2,645,033,838,736/754,138
  6. Step 6: Final answer
    x = 3,507,360.51

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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.