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Finding the Third Proportional to 453,896 and 1,060,196

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Solution

The third proportional to 453,896 and 1,060,196 is: 2,476,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,896 : 1,060,196 = 1,060,196 : x
  2. Step 2: Convert to fraction form
    453,896/1,060,196 = 1,060,196/x
  3. Step 3: Cross multiply
    453,896x = 1,060,196 × 1,060,196
  4. Step 4: Simplify right side
    453,896x = 1,124,015,558,416
  5. Step 5: Solve for x
    x = 1,124,015,558,416/453,896
  6. Step 6: Final answer
    x = 2,476,372.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.