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Finding the Third Proportional to 456,684 and 1,032,912

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Solution

The third proportional to 456,684 and 1,032,912 is: 2,336,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,684 : 1,032,912 = 1,032,912 : x
  2. Step 2: Convert to fraction form
    456,684/1,032,912 = 1,032,912/x
  3. Step 3: Cross multiply
    456,684x = 1,032,912 × 1,032,912
  4. Step 4: Simplify right side
    456,684x = 1,066,907,199,744
  5. Step 5: Solve for x
    x = 1,066,907,199,744/456,684
  6. Step 6: Final answer
    x = 2,336,204.46

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.