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Finding the Third Proportional to 734,256 and 1,073,196

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Solution

The third proportional to 734,256 and 1,073,196 is: 1,568,594.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,256 : 1,073,196 = 1,073,196 : x
  2. Step 2: Convert to fraction form
    734,256/1,073,196 = 1,073,196/x
  3. Step 3: Cross multiply
    734,256x = 1,073,196 × 1,073,196
  4. Step 4: Simplify right side
    734,256x = 1,151,749,654,416
  5. Step 5: Solve for x
    x = 1,151,749,654,416/734,256
  6. Step 6: Final answer
    x = 1,568,594.13

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.