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Finding the Third Proportional to 685,938 and 1,477,230

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Solution

The third proportional to 685,938 and 1,477,230 is: 3,181,349.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,938 : 1,477,230 = 1,477,230 : x
  2. Step 2: Convert to fraction form
    685,938/1,477,230 = 1,477,230/x
  3. Step 3: Cross multiply
    685,938x = 1,477,230 × 1,477,230
  4. Step 4: Simplify right side
    685,938x = 2,182,208,472,900
  5. Step 5: Solve for x
    x = 2,182,208,472,900/685,938
  6. Step 6: Final answer
    x = 3,181,349.44

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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.