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Finding the Third Proportional to 690,483 and 1,476,912

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Solution

The third proportional to 690,483 and 1,476,912 is: 3,159,048.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,483 : 1,476,912 = 1,476,912 : x
  2. Step 2: Convert to fraction form
    690,483/1,476,912 = 1,476,912/x
  3. Step 3: Cross multiply
    690,483x = 1,476,912 × 1,476,912
  4. Step 4: Simplify right side
    690,483x = 2,181,269,055,744
  5. Step 5: Solve for x
    x = 2,181,269,055,744/690,483
  6. Step 6: Final answer
    x = 3,159,048.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.