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Finding the Third Proportional to 610,034 and 880,059

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Solution

The third proportional to 610,034 and 880,059 is: 1,269,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,034 : 880,059 = 880,059 : x
  2. Step 2: Convert to fraction form
    610,034/880,059 = 880,059/x
  3. Step 3: Cross multiply
    610,034x = 880,059 × 880,059
  4. Step 4: Simplify right side
    610,034x = 774,503,843,481
  5. Step 5: Solve for x
    x = 774,503,843,481/610,034
  6. Step 6: Final answer
    x = 1,269,607.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.