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Finding the Third Proportional to 891,507 and 1,945,497

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Solution

The third proportional to 891,507 and 1,945,497 is: 4,245,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,507 : 1,945,497 = 1,945,497 : x
  2. Step 2: Convert to fraction form
    891,507/1,945,497 = 1,945,497/x
  3. Step 3: Cross multiply
    891,507x = 1,945,497 × 1,945,497
  4. Step 4: Simplify right side
    891,507x = 3,784,958,577,009
  5. Step 5: Solve for x
    x = 3,784,958,577,009/891,507
  6. Step 6: Final answer
    x = 4,245,573.59

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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.