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Finding the Third Proportional to 778,944 and 1,698,176

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Solution

The third proportional to 778,944 and 1,698,176 is: 3,702,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,944 : 1,698,176 = 1,698,176 : x
  2. Step 2: Convert to fraction form
    778,944/1,698,176 = 1,698,176/x
  3. Step 3: Cross multiply
    778,944x = 1,698,176 × 1,698,176
  4. Step 4: Simplify right side
    778,944x = 2,883,801,726,976
  5. Step 5: Solve for x
    x = 2,883,801,726,976/778,944
  6. Step 6: Final answer
    x = 3,702,193.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.