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Finding the Third Proportional to 716,102 and 1,576,180

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Solution

The third proportional to 716,102 and 1,576,180 is: 3,469,259.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,102 : 1,576,180 = 1,576,180 : x
  2. Step 2: Convert to fraction form
    716,102/1,576,180 = 1,576,180/x
  3. Step 3: Cross multiply
    716,102x = 1,576,180 × 1,576,180
  4. Step 4: Simplify right side
    716,102x = 2,484,343,392,400
  5. Step 5: Solve for x
    x = 2,484,343,392,400/716,102
  6. Step 6: Final answer
    x = 3,469,259.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.