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Finding the Third Proportional to 449,310 and 973,383

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Solution

The third proportional to 449,310 and 973,383 is: 2,108,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,310 : 973,383 = 973,383 : x
  2. Step 2: Convert to fraction form
    449,310/973,383 = 973,383/x
  3. Step 3: Cross multiply
    449,310x = 973,383 × 973,383
  4. Step 4: Simplify right side
    449,310x = 947,474,464,689
  5. Step 5: Solve for x
    x = 947,474,464,689/449,310
  6. Step 6: Final answer
    x = 2,108,732.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.