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Finding the Third Proportional to 529,326 and 1,153,818

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Solution

The third proportional to 529,326 and 1,153,818 is: 2,515,077.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,326 : 1,153,818 = 1,153,818 : x
  2. Step 2: Convert to fraction form
    529,326/1,153,818 = 1,153,818/x
  3. Step 3: Cross multiply
    529,326x = 1,153,818 × 1,153,818
  4. Step 4: Simplify right side
    529,326x = 1,331,295,977,124
  5. Step 5: Solve for x
    x = 1,331,295,977,124/529,326
  6. Step 6: Final answer
    x = 2,515,077.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.