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Finding the Third Proportional to 465,949 and 1,019,133

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Solution

The third proportional to 465,949 and 1,019,133 is: 2,229,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,949 : 1,019,133 = 1,019,133 : x
  2. Step 2: Convert to fraction form
    465,949/1,019,133 = 1,019,133/x
  3. Step 3: Cross multiply
    465,949x = 1,019,133 × 1,019,133
  4. Step 4: Simplify right side
    465,949x = 1,038,632,071,689
  5. Step 5: Solve for x
    x = 1,038,632,071,689/465,949
  6. Step 6: Final answer
    x = 2,229,068.14

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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.