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Finding the Third Proportional to 1,440,768 and 3,135,232

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Solution

The third proportional to 1,440,768 and 3,135,232 is: 6,822,527.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440,768 : 3,135,232 = 3,135,232 : x
  2. Step 2: Convert to fraction form
    1,440,768/3,135,232 = 3,135,232/x
  3. Step 3: Cross multiply
    1,440,768x = 3,135,232 × 3,135,232
  4. Step 4: Simplify right side
    1,440,768x = 9,829,679,693,824
  5. Step 5: Solve for x
    x = 9,829,679,693,824/1,440,768
  6. Step 6: Final answer
    x = 6,822,527.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.