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Finding the Third Proportional to 457,896 and 983,508

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Solution

The third proportional to 457,896 and 983,508 is: 2,112,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,896 : 983,508 = 983,508 : x
  2. Step 2: Convert to fraction form
    457,896/983,508 = 983,508/x
  3. Step 3: Cross multiply
    457,896x = 983,508 × 983,508
  4. Step 4: Simplify right side
    457,896x = 967,287,986,064
  5. Step 5: Solve for x
    x = 967,287,986,064/457,896
  6. Step 6: Final answer
    x = 2,112,462.19

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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.