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Finding the Third Proportional to 475,460 and 1,036,216

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Solution

The third proportional to 475,460 and 1,036,216 is: 2,258,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,460 : 1,036,216 = 1,036,216 : x
  2. Step 2: Convert to fraction form
    475,460/1,036,216 = 1,036,216/x
  3. Step 3: Cross multiply
    475,460x = 1,036,216 × 1,036,216
  4. Step 4: Simplify right side
    475,460x = 1,073,743,598,656
  5. Step 5: Solve for x
    x = 1,073,743,598,656/475,460
  6. Step 6: Final answer
    x = 2,258,325.83

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