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Finding the Third Proportional to 483,478 and 1,047,308

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Solution

The third proportional to 483,478 and 1,047,308 is: 2,268,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,478 : 1,047,308 = 1,047,308 : x
  2. Step 2: Convert to fraction form
    483,478/1,047,308 = 1,047,308/x
  3. Step 3: Cross multiply
    483,478x = 1,047,308 × 1,047,308
  4. Step 4: Simplify right side
    483,478x = 1,096,854,046,864
  5. Step 5: Solve for x
    x = 1,096,854,046,864/483,478
  6. Step 6: Final answer
    x = 2,268,674.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.