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Finding the Third Proportional to 419,417 and 912,562

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Solution

The third proportional to 419,417 and 912,562 is: 1,985,540.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,417 : 912,562 = 912,562 : x
  2. Step 2: Convert to fraction form
    419,417/912,562 = 912,562/x
  3. Step 3: Cross multiply
    419,417x = 912,562 × 912,562
  4. Step 4: Simplify right side
    419,417x = 832,769,403,844
  5. Step 5: Solve for x
    x = 832,769,403,844/419,417
  6. Step 6: Final answer
    x = 1,985,540.41

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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.