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Finding the Third Proportional to 465,972 and 1,019,178

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Solution

The third proportional to 465,972 and 1,019,178 is: 2,229,154.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,972 : 1,019,178 = 1,019,178 : x
  2. Step 2: Convert to fraction form
    465,972/1,019,178 = 1,019,178/x
  3. Step 3: Cross multiply
    465,972x = 1,019,178 × 1,019,178
  4. Step 4: Simplify right side
    465,972x = 1,038,723,795,684
  5. Step 5: Solve for x
    x = 1,038,723,795,684/465,972
  6. Step 6: Final answer
    x = 2,229,154.96

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.