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Finding the Third Proportional to 685,350,180 and 1,059,464,001

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Solution

The third proportional to 685,350,180 and 1,059,464,001 is: 1,637,796,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,350,180 : 1,059,464,001 = 1,059,464,001 : x
  2. Step 2: Convert to fraction form
    685,350,180/1,059,464,001 = 1,059,464,001/x
  3. Step 3: Cross multiply
    685,350,180x = 1,059,464,001 × 1,059,464,001
  4. Step 4: Simplify right side
    685,350,180x = 1,122,463,969,414,928,000
  5. Step 5: Solve for x
    x = 1,122,463,969,414,928,000/685,350,180
  6. Step 6: Final answer
    x = 1,637,796,271.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.