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Finding the Third Proportional to 673,178.34 and 1,440,921.66

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Solution

The third proportional to 673,178.34 and 1,440,921.66 is: 3,084,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,178.34 : 1,440,921.66 = 1,440,921.66 : x
  2. Step 2: Convert to fraction form
    673,178.34/1,440,921.66 = 1,440,921.66/x
  3. Step 3: Cross multiply
    673,178.34x = 1,440,921.66 × 1,440,921.66
  4. Step 4: Simplify right side
    673,178.34x = 2,076,255,219,450.24
  5. Step 5: Solve for x
    x = 2,076,255,219,450.24/673,178.34
  6. Step 6: Final answer
    x = 3,084,257.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.