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Finding the Third Proportional to 457,912 and 983,536

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Solution

The third proportional to 457,912 and 983,536 is: 2,112,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,912 : 983,536 = 983,536 : x
  2. Step 2: Convert to fraction form
    457,912/983,536 = 983,536/x
  3. Step 3: Cross multiply
    457,912x = 983,536 × 983,536
  4. Step 4: Simplify right side
    457,912x = 967,343,063,296
  5. Step 5: Solve for x
    x = 967,343,063,296/457,912
  6. Step 6: Final answer
    x = 2,112,508.66

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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.