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Finding the Third Proportional to 764,768 and 1,214,648

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Solution

The third proportional to 764,768 and 1,214,648 is: 1,929,172.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,768 : 1,214,648 = 1,214,648 : x
  2. Step 2: Convert to fraction form
    764,768/1,214,648 = 1,214,648/x
  3. Step 3: Cross multiply
    764,768x = 1,214,648 × 1,214,648
  4. Step 4: Simplify right side
    764,768x = 1,475,369,763,904
  5. Step 5: Solve for x
    x = 1,475,369,763,904/764,768
  6. Step 6: Final answer
    x = 1,929,172.98

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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.