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Finding the Third Proportional to 595,009 and 1,308,116

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Solution

The third proportional to 595,009 and 1,308,116 is: 2,875,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,009 : 1,308,116 = 1,308,116 : x
  2. Step 2: Convert to fraction form
    595,009/1,308,116 = 1,308,116/x
  3. Step 3: Cross multiply
    595,009x = 1,308,116 × 1,308,116
  4. Step 4: Simplify right side
    595,009x = 1,711,167,469,456
  5. Step 5: Solve for x
    x = 1,711,167,469,456/595,009
  6. Step 6: Final answer
    x = 2,875,868.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.