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Finding the Third Proportional to 1,774,860 and 2,538,069

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Solution

The third proportional to 1,774,860 and 2,538,069 is: 3,629,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,860 : 2,538,069 = 2,538,069 : x
  2. Step 2: Convert to fraction form
    1,774,860/2,538,069 = 2,538,069/x
  3. Step 3: Cross multiply
    1,774,860x = 2,538,069 × 2,538,069
  4. Step 4: Simplify right side
    1,774,860x = 6,441,794,248,761
  5. Step 5: Solve for x
    x = 6,441,794,248,761/1,774,860
  6. Step 6: Final answer
    x = 3,629,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.