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Finding the Third Proportional to 685,350,179 and 1,059,464,000

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Solution

The third proportional to 685,350,179 and 1,059,464,000 is: 1,637,796,270.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,350,179 : 1,059,464,000 = 1,059,464,000 : x
  2. Step 2: Convert to fraction form
    685,350,179/1,059,464,000 = 1,059,464,000/x
  3. Step 3: Cross multiply
    685,350,179x = 1,059,464,000 × 1,059,464,000
  4. Step 4: Simplify right side
    685,350,179x = 1,122,463,967,296,000,000
  5. Step 5: Solve for x
    x = 1,122,463,967,296,000,000/685,350,179
  6. Step 6: Final answer
    x = 1,637,796,270.71

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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.