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Finding the Third Proportional to 774,072 and 1,172,772

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Solution

The third proportional to 774,072 and 1,172,772 is: 1,776,829.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,072 : 1,172,772 = 1,172,772 : x
  2. Step 2: Convert to fraction form
    774,072/1,172,772 = 1,172,772/x
  3. Step 3: Cross multiply
    774,072x = 1,172,772 × 1,172,772
  4. Step 4: Simplify right side
    774,072x = 1,375,394,163,984
  5. Step 5: Solve for x
    x = 1,375,394,163,984/774,072
  6. Step 6: Final answer
    x = 1,776,829.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.