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Finding the Third Proportional to 475,440 and 1,036,176

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Solution

The third proportional to 475,440 and 1,036,176 is: 2,258,246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,440 : 1,036,176 = 1,036,176 : x
  2. Step 2: Convert to fraction form
    475,440/1,036,176 = 1,036,176/x
  3. Step 3: Cross multiply
    475,440x = 1,036,176 × 1,036,176
  4. Step 4: Simplify right side
    475,440x = 1,073,660,702,976
  5. Step 5: Solve for x
    x = 1,073,660,702,976/475,440
  6. Step 6: Final answer
    x = 2,258,246.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.