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Finding the Third Proportional to 673,947 and 1,471,392

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Solution

The third proportional to 673,947 and 1,471,392 is: 3,212,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,947 : 1,471,392 = 1,471,392 : x
  2. Step 2: Convert to fraction form
    673,947/1,471,392 = 1,471,392/x
  3. Step 3: Cross multiply
    673,947x = 1,471,392 × 1,471,392
  4. Step 4: Simplify right side
    673,947x = 2,164,994,417,664
  5. Step 5: Solve for x
    x = 2,164,994,417,664/673,947
  6. Step 6: Final answer
    x = 3,212,410.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.