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Finding the Third Proportional to 685,936 and 1,477,226

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Solution

The third proportional to 685,936 and 1,477,226 is: 3,181,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,936 : 1,477,226 = 1,477,226 : x
  2. Step 2: Convert to fraction form
    685,936/1,477,226 = 1,477,226/x
  3. Step 3: Cross multiply
    685,936x = 1,477,226 × 1,477,226
  4. Step 4: Simplify right side
    685,936x = 2,182,196,655,076
  5. Step 5: Solve for x
    x = 2,182,196,655,076/685,936
  6. Step 6: Final answer
    x = 3,181,341.49

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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.