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Finding the Third Proportional to 745,982 and 1,147,290

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Solution

The third proportional to 745,982 and 1,147,290 is: 1,764,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,982 : 1,147,290 = 1,147,290 : x
  2. Step 2: Convert to fraction form
    745,982/1,147,290 = 1,147,290/x
  3. Step 3: Cross multiply
    745,982x = 1,147,290 × 1,147,290
  4. Step 4: Simplify right side
    745,982x = 1,316,274,344,100
  5. Step 5: Solve for x
    x = 1,316,274,344,100/745,982
  6. Step 6: Final answer
    x = 1,764,485.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.