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Finding the Third Proportional to 659,628 and 1,010,771

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Solution

The third proportional to 659,628 and 1,010,771 is: 1,548,839.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,628 : 1,010,771 = 1,010,771 : x
  2. Step 2: Convert to fraction form
    659,628/1,010,771 = 1,010,771/x
  3. Step 3: Cross multiply
    659,628x = 1,010,771 × 1,010,771
  4. Step 4: Simplify right side
    659,628x = 1,021,658,014,441
  5. Step 5: Solve for x
    x = 1,021,658,014,441/659,628
  6. Step 6: Final answer
    x = 1,548,839.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.