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Finding the Third Proportional to 668,297 and 1,440,922

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Solution

The third proportional to 668,297 and 1,440,922 is: 3,106,786.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,297 : 1,440,922 = 1,440,922 : x
  2. Step 2: Convert to fraction form
    668,297/1,440,922 = 1,440,922/x
  3. Step 3: Cross multiply
    668,297x = 1,440,922 × 1,440,922
  4. Step 4: Simplify right side
    668,297x = 2,076,256,210,084
  5. Step 5: Solve for x
    x = 2,076,256,210,084/668,297
  6. Step 6: Final answer
    x = 3,106,786.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.