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Finding the Third Proportional to 497,256 and 1,088,556

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Solution

The third proportional to 497,256 and 1,088,556 is: 2,382,986.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,256 : 1,088,556 = 1,088,556 : x
  2. Step 2: Convert to fraction form
    497,256/1,088,556 = 1,088,556/x
  3. Step 3: Cross multiply
    497,256x = 1,088,556 × 1,088,556
  4. Step 4: Simplify right side
    497,256x = 1,184,954,165,136
  5. Step 5: Solve for x
    x = 1,184,954,165,136/497,256
  6. Step 6: Final answer
    x = 2,382,986.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.