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Finding the Third Proportional to 774,068 and 1,195,616.50

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Solution

The third proportional to 774,068 and 1,195,616.50 is: 1,846,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,068 : 1,195,616.50 = 1,195,616.50 : x
  2. Step 2: Convert to fraction form
    774,068/1,195,616.50 = 1,195,616.50/x
  3. Step 3: Cross multiply
    774,068x = 1,195,616.50 × 1,195,616.50
  4. Step 4: Simplify right side
    774,068x = 1,429,498,815,072.25
  5. Step 5: Solve for x
    x = 1,429,498,815,072.25/774,068
  6. Step 6: Final answer
    x = 1,846,735.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.