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Finding the Third Proportional to 477,620 and 1,004,392

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Solution

The third proportional to 477,620 and 1,004,392 is: 2,112,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,620 : 1,004,392 = 1,004,392 : x
  2. Step 2: Convert to fraction form
    477,620/1,004,392 = 1,004,392/x
  3. Step 3: Cross multiply
    477,620x = 1,004,392 × 1,004,392
  4. Step 4: Simplify right side
    477,620x = 1,008,803,289,664
  5. Step 5: Solve for x
    x = 1,008,803,289,664/477,620
  6. Step 6: Final answer
    x = 2,112,146.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.