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Finding the Third Proportional to 493,215 and 1,075,793

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Solution

The third proportional to 493,215 and 1,075,793 is: 2,346,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,215 : 1,075,793 = 1,075,793 : x
  2. Step 2: Convert to fraction form
    493,215/1,075,793 = 1,075,793/x
  3. Step 3: Cross multiply
    493,215x = 1,075,793 × 1,075,793
  4. Step 4: Simplify right side
    493,215x = 1,157,330,578,849
  5. Step 5: Solve for x
    x = 1,157,330,578,849/493,215
  6. Step 6: Final answer
    x = 2,346,503.21

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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.