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Finding the Third Proportional to 507,391 and 1,091,326

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Solution

The third proportional to 507,391 and 1,091,326 is: 2,347,287.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,391 : 1,091,326 = 1,091,326 : x
  2. Step 2: Convert to fraction form
    507,391/1,091,326 = 1,091,326/x
  3. Step 3: Cross multiply
    507,391x = 1,091,326 × 1,091,326
  4. Step 4: Simplify right side
    507,391x = 1,190,992,438,276
  5. Step 5: Solve for x
    x = 1,190,992,438,276/507,391
  6. Step 6: Final answer
    x = 2,347,287.28

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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.