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Finding the Third Proportional to 764,788 and 1,214,674

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Solution

The third proportional to 764,788 and 1,214,674 is: 1,929,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,788 : 1,214,674 = 1,214,674 : x
  2. Step 2: Convert to fraction form
    764,788/1,214,674 = 1,214,674/x
  3. Step 3: Cross multiply
    764,788x = 1,214,674 × 1,214,674
  4. Step 4: Simplify right side
    764,788x = 1,475,432,926,276
  5. Step 5: Solve for x
    x = 1,475,432,926,276/764,788
  6. Step 6: Final answer
    x = 1,929,205.12

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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.