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Finding the Third Proportional to 677,004 and 1,486,848

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Solution

The third proportional to 677,004 and 1,486,848 is: 3,265,441.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,004 : 1,486,848 = 1,486,848 : x
  2. Step 2: Convert to fraction form
    677,004/1,486,848 = 1,486,848/x
  3. Step 3: Cross multiply
    677,004x = 1,486,848 × 1,486,848
  4. Step 4: Simplify right side
    677,004x = 2,210,716,975,104
  5. Step 5: Solve for x
    x = 2,210,716,975,104/677,004
  6. Step 6: Final answer
    x = 3,265,441.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.