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Finding the Third Proportional to 405,030 and 937,677

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Solution

The third proportional to 405,030 and 937,677 is: 2,170,797.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,030 : 937,677 = 937,677 : x
  2. Step 2: Convert to fraction form
    405,030/937,677 = 937,677/x
  3. Step 3: Cross multiply
    405,030x = 937,677 × 937,677
  4. Step 4: Simplify right side
    405,030x = 879,238,156,329
  5. Step 5: Solve for x
    x = 879,238,156,329/405,030
  6. Step 6: Final answer
    x = 2,170,797.61

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.