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Finding the Third Proportional to 764,000 and 1,590,786

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Solution

The third proportional to 764,000 and 1,590,786 is: 3,312,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,000 : 1,590,786 = 1,590,786 : x
  2. Step 2: Convert to fraction form
    764,000/1,590,786 = 1,590,786/x
  3. Step 3: Cross multiply
    764,000x = 1,590,786 × 1,590,786
  4. Step 4: Simplify right side
    764,000x = 2,530,600,097,796
  5. Step 5: Solve for x
    x = 2,530,600,097,796/764,000
  6. Step 6: Final answer
    x = 3,312,303.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.