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Finding the Third Proportional to 774,166.75 and 1,602,769.50

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Solution

The third proportional to 774,166.75 and 1,602,769.50 is: 3,318,238.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,166.75 : 1,602,769.50 = 1,602,769.50 : x
  2. Step 2: Convert to fraction form
    774,166.75/1,602,769.50 = 1,602,769.50/x
  3. Step 3: Cross multiply
    774,166.75x = 1,602,769.50 × 1,602,769.50
  4. Step 4: Simplify right side
    774,166.75x = 2,568,870,070,130.25
  5. Step 5: Solve for x
    x = 2,568,870,070,130.25/774,166.75
  6. Step 6: Final answer
    x = 3,318,238.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.