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Finding the Third Proportional to 776,176 and 1,670,386

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Solution

The third proportional to 776,176 and 1,670,386 is: 3,594,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    776,176 : 1,670,386 = 1,670,386 : x
  2. Step 2: Convert to fraction form
    776,176/1,670,386 = 1,670,386/x
  3. Step 3: Cross multiply
    776,176x = 1,670,386 × 1,670,386
  4. Step 4: Simplify right side
    776,176x = 2,790,189,388,996
  5. Step 5: Solve for x
    x = 2,790,189,388,996/776,176
  6. Step 6: Final answer
    x = 3,594,789.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.