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Finding the Third Proportional to 440,652,084 and 666,645,512

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Solution

The third proportional to 440,652,084 and 666,645,512 is: 1,008,542,237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,652,084 : 666,645,512 = 666,645,512 : x
  2. Step 2: Convert to fraction form
    440,652,084/666,645,512 = 666,645,512/x
  3. Step 3: Cross multiply
    440,652,084x = 666,645,512 × 666,645,512
  4. Step 4: Simplify right side
    440,652,084x = 444,416,238,669,742,144
  5. Step 5: Solve for x
    x = 444,416,238,669,742,144/440,652,084
  6. Step 6: Final answer
    x = 1,008,542,237.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.