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Finding the Third Proportional to 637,290 and 1,379,142

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Solution

The third proportional to 637,290 and 1,379,142 is: 2,984,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,290 : 1,379,142 = 1,379,142 : x
  2. Step 2: Convert to fraction form
    637,290/1,379,142 = 1,379,142/x
  3. Step 3: Cross multiply
    637,290x = 1,379,142 × 1,379,142
  4. Step 4: Simplify right side
    637,290x = 1,902,032,656,164
  5. Step 5: Solve for x
    x = 1,902,032,656,164/637,290
  6. Step 6: Final answer
    x = 2,984,563.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.