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Finding the Third Proportional to 486,305 and 1,047,514.50

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Solution

The third proportional to 486,305 and 1,047,514.50 is: 2,256,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,305 : 1,047,514.50 = 1,047,514.50 : x
  2. Step 2: Convert to fraction form
    486,305/1,047,514.50 = 1,047,514.50/x
  3. Step 3: Cross multiply
    486,305x = 1,047,514.50 × 1,047,514.50
  4. Step 4: Simplify right side
    486,305x = 1,097,286,627,710.25
  5. Step 5: Solve for x
    x = 1,097,286,627,710.25/486,305
  6. Step 6: Final answer
    x = 2,256,375.38

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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.