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Finding the Third Proportional to 419,064 and 905,072

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Solution

The third proportional to 419,064 and 905,072 is: 1,954,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,064 : 905,072 = 905,072 : x
  2. Step 2: Convert to fraction form
    419,064/905,072 = 905,072/x
  3. Step 3: Cross multiply
    419,064x = 905,072 × 905,072
  4. Step 4: Simplify right side
    419,064x = 819,155,325,184
  5. Step 5: Solve for x
    x = 819,155,325,184/419,064
  6. Step 6: Final answer
    x = 1,954,726.07

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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.