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Finding the Third Proportional to 931,804 and 2,038,084

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Solution

The third proportional to 931,804 and 2,038,084 is: 4,457,789.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,804 : 2,038,084 = 2,038,084 : x
  2. Step 2: Convert to fraction form
    931,804/2,038,084 = 2,038,084/x
  3. Step 3: Cross multiply
    931,804x = 2,038,084 × 2,038,084
  4. Step 4: Simplify right side
    931,804x = 4,153,786,391,056
  5. Step 5: Solve for x
    x = 4,153,786,391,056/931,804
  6. Step 6: Final answer
    x = 4,457,789.83

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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.