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Finding the Third Proportional to 685,935 and 1,477,223.63

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Solution

The third proportional to 685,935 and 1,477,223.63 is: 3,181,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,935 : 1,477,223.63 = 1,477,223.63 : x
  2. Step 2: Convert to fraction form
    685,935/1,477,223.63 = 1,477,223.63/x
  3. Step 3: Cross multiply
    685,935x = 1,477,223.63 × 1,477,223.63
  4. Step 4: Simplify right side
    685,935x = 2,182,189,638,258.14
  5. Step 5: Solve for x
    x = 2,182,189,638,258.14/685,935
  6. Step 6: Final answer
    x = 3,181,335.90

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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.