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Finding the Third Proportional to 716,576 and 1,564,144

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Solution

The third proportional to 716,576 and 1,564,144 is: 3,414,217.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,576 : 1,564,144 = 1,564,144 : x
  2. Step 2: Convert to fraction form
    716,576/1,564,144 = 1,564,144/x
  3. Step 3: Cross multiply
    716,576x = 1,564,144 × 1,564,144
  4. Step 4: Simplify right side
    716,576x = 2,446,546,452,736
  5. Step 5: Solve for x
    x = 2,446,546,452,736/716,576
  6. Step 6: Final answer
    x = 3,414,217.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.