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Finding the Third Proportional to 764,508 and 1,069,290

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Solution

The third proportional to 764,508 and 1,069,290 is: 1,495,577.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,508 : 1,069,290 = 1,069,290 : x
  2. Step 2: Convert to fraction form
    764,508/1,069,290 = 1,069,290/x
  3. Step 3: Cross multiply
    764,508x = 1,069,290 × 1,069,290
  4. Step 4: Simplify right side
    764,508x = 1,143,381,104,100
  5. Step 5: Solve for x
    x = 1,143,381,104,100/764,508
  6. Step 6: Final answer
    x = 1,495,577.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.