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Finding the Third Proportional to 754,206 and 1,626,430

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Solution

The third proportional to 754,206 and 1,626,430 is: 3,507,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,206 : 1,626,430 = 1,626,430 : x
  2. Step 2: Convert to fraction form
    754,206/1,626,430 = 1,626,430/x
  3. Step 3: Cross multiply
    754,206x = 1,626,430 × 1,626,430
  4. Step 4: Simplify right side
    754,206x = 2,645,274,544,900
  5. Step 5: Solve for x
    x = 2,645,274,544,900/754,206
  6. Step 6: Final answer
    x = 3,507,363.43

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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.