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Finding the Third Proportional to 469,321 and 960,512

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Solution

The third proportional to 469,321 and 960,512 is: 1,965,783.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,321 : 960,512 = 960,512 : x
  2. Step 2: Convert to fraction form
    469,321/960,512 = 960,512/x
  3. Step 3: Cross multiply
    469,321x = 960,512 × 960,512
  4. Step 4: Simplify right side
    469,321x = 922,583,302,144
  5. Step 5: Solve for x
    x = 922,583,302,144/469,321
  6. Step 6: Final answer
    x = 1,965,783.13

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.