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Finding the Third Proportional to 419,388 and 912,504

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Solution

The third proportional to 419,388 and 912,504 is: 1,985,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,388 : 912,504 = 912,504 : x
  2. Step 2: Convert to fraction form
    419,388/912,504 = 912,504/x
  3. Step 3: Cross multiply
    419,388x = 912,504 × 912,504
  4. Step 4: Simplify right side
    419,388x = 832,663,550,016
  5. Step 5: Solve for x
    x = 832,663,550,016/419,388
  6. Step 6: Final answer
    x = 1,985,425.31

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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.