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Finding the Third Proportional to 716,152 and 969,180

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Solution

The third proportional to 716,152 and 969,180 is: 1,311,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,152 : 969,180 = 969,180 : x
  2. Step 2: Convert to fraction form
    716,152/969,180 = 969,180/x
  3. Step 3: Cross multiply
    716,152x = 969,180 × 969,180
  4. Step 4: Simplify right side
    716,152x = 939,309,872,400
  5. Step 5: Solve for x
    x = 939,309,872,400/716,152
  6. Step 6: Final answer
    x = 1,311,606.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.