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Finding the Third Proportional to 1,746,566 and 2,777,301

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Solution

The third proportional to 1,746,566 and 2,777,301 is: 4,416,323.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746,566 : 2,777,301 = 2,777,301 : x
  2. Step 2: Convert to fraction form
    1,746,566/2,777,301 = 2,777,301/x
  3. Step 3: Cross multiply
    1,746,566x = 2,777,301 × 2,777,301
  4. Step 4: Simplify right side
    1,746,566x = 7,713,400,844,601
  5. Step 5: Solve for x
    x = 7,713,400,844,601/1,746,566
  6. Step 6: Final answer
    x = 4,416,323.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.