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Finding the Third Proportional to 452,036 and 619,833

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Solution

The third proportional to 452,036 and 619,833 is: 849,916.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,036 : 619,833 = 619,833 : x
  2. Step 2: Convert to fraction form
    452,036/619,833 = 619,833/x
  3. Step 3: Cross multiply
    452,036x = 619,833 × 619,833
  4. Step 4: Simplify right side
    452,036x = 384,192,947,889
  5. Step 5: Solve for x
    x = 384,192,947,889/452,036
  6. Step 6: Final answer
    x = 849,916.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.