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Finding the Third Proportional to 477,084.94 and 1,038,313.69

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Solution

The third proportional to 477,084.94 and 1,038,313.69 is: 2,259,755.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,084.94 : 1,038,313.69 = 1,038,313.69 : x
  2. Step 2: Convert to fraction form
    477,084.94/1,038,313.69 = 1,038,313.69/x
  3. Step 3: Cross multiply
    477,084.94x = 1,038,313.69 × 1,038,313.69
  4. Step 4: Simplify right side
    477,084.94x = 1,078,095,313,649.85
  5. Step 5: Solve for x
    x = 1,078,095,313,649.85/477,084.94
  6. Step 6: Final answer
    x = 2,259,755.50

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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.