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Finding the Third Proportional to 673,199 and 1,440,960

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Solution

The third proportional to 673,199 and 1,440,960 is: 3,084,326.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,199 : 1,440,960 = 1,440,960 : x
  2. Step 2: Convert to fraction form
    673,199/1,440,960 = 1,440,960/x
  3. Step 3: Cross multiply
    673,199x = 1,440,960 × 1,440,960
  4. Step 4: Simplify right side
    673,199x = 2,076,365,721,600
  5. Step 5: Solve for x
    x = 2,076,365,721,600/673,199
  6. Step 6: Final answer
    x = 3,084,326.81

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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.