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Finding the Third Proportional to 528,940 and 1,162,844

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Solution

The third proportional to 528,940 and 1,162,844 is: 2,556,445.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,940 : 1,162,844 = 1,162,844 : x
  2. Step 2: Convert to fraction form
    528,940/1,162,844 = 1,162,844/x
  3. Step 3: Cross multiply
    528,940x = 1,162,844 × 1,162,844
  4. Step 4: Simplify right side
    528,940x = 1,352,206,168,336
  5. Step 5: Solve for x
    x = 1,352,206,168,336/528,940
  6. Step 6: Final answer
    x = 2,556,445.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.