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Finding the Third Proportional to 414,030 and 887,084

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Solution

The third proportional to 414,030 and 887,084 is: 1,900,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,030 : 887,084 = 887,084 : x
  2. Step 2: Convert to fraction form
    414,030/887,084 = 887,084/x
  3. Step 3: Cross multiply
    414,030x = 887,084 × 887,084
  4. Step 4: Simplify right side
    414,030x = 786,918,023,056
  5. Step 5: Solve for x
    x = 786,918,023,056/414,030
  6. Step 6: Final answer
    x = 1,900,630.44

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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.