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Finding the Third Proportional to 778,576 and 1,673,550

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Solution

The third proportional to 778,576 and 1,673,550 is: 3,597,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,576 : 1,673,550 = 1,673,550 : x
  2. Step 2: Convert to fraction form
    778,576/1,673,550 = 1,673,550/x
  3. Step 3: Cross multiply
    778,576x = 1,673,550 × 1,673,550
  4. Step 4: Simplify right side
    778,576x = 2,800,769,602,500
  5. Step 5: Solve for x
    x = 2,800,769,602,500/778,576
  6. Step 6: Final answer
    x = 3,597,297.63

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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.