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Finding the Third Proportional to 585,783 and 1,206,549

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Solution

The third proportional to 585,783 and 1,206,549 is: 2,485,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,783 : 1,206,549 = 1,206,549 : x
  2. Step 2: Convert to fraction form
    585,783/1,206,549 = 1,206,549/x
  3. Step 3: Cross multiply
    585,783x = 1,206,549 × 1,206,549
  4. Step 4: Simplify right side
    585,783x = 1,455,760,489,401
  5. Step 5: Solve for x
    x = 1,455,760,489,401/585,783
  6. Step 6: Final answer
    x = 2,485,153.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.