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Finding the Third Proportional to 475,459 and 1,036,214

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Solution

The third proportional to 475,459 and 1,036,214 is: 2,258,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,459 : 1,036,214 = 1,036,214 : x
  2. Step 2: Convert to fraction form
    475,459/1,036,214 = 1,036,214/x
  3. Step 3: Cross multiply
    475,459x = 1,036,214 × 1,036,214
  4. Step 4: Simplify right side
    475,459x = 1,073,739,453,796
  5. Step 5: Solve for x
    x = 1,073,739,453,796/475,459
  6. Step 6: Final answer
    x = 2,258,321.86

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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.