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Finding the Third Proportional to 668,256 and 1,097,043

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Solution

The third proportional to 668,256 and 1,097,043 is: 1,800,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,256 : 1,097,043 = 1,097,043 : x
  2. Step 2: Convert to fraction form
    668,256/1,097,043 = 1,097,043/x
  3. Step 3: Cross multiply
    668,256x = 1,097,043 × 1,097,043
  4. Step 4: Simplify right side
    668,256x = 1,203,503,343,849
  5. Step 5: Solve for x
    x = 1,203,503,343,849/668,256
  6. Step 6: Final answer
    x = 1,800,961.52

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.