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Finding the Third Proportional to 1,748,694 and 2,780,577

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Solution

The third proportional to 1,748,694 and 2,780,577 is: 4,421,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748,694 : 2,780,577 = 2,780,577 : x
  2. Step 2: Convert to fraction form
    1,748,694/2,780,577 = 2,780,577/x
  3. Step 3: Cross multiply
    1,748,694x = 2,780,577 × 2,780,577
  4. Step 4: Simplify right side
    1,748,694x = 7,731,608,452,929
  5. Step 5: Solve for x
    x = 7,731,608,452,929/1,748,694
  6. Step 6: Final answer
    x = 4,421,361.57

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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.