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Finding the Third Proportional to 384,104 and 825,070

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Solution

The third proportional to 384,104 and 825,070 is: 1,772,281.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,104 : 825,070 = 825,070 : x
  2. Step 2: Convert to fraction form
    384,104/825,070 = 825,070/x
  3. Step 3: Cross multiply
    384,104x = 825,070 × 825,070
  4. Step 4: Simplify right side
    384,104x = 680,740,504,900
  5. Step 5: Solve for x
    x = 680,740,504,900/384,104
  6. Step 6: Final answer
    x = 1,772,281.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.