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Finding the Third Proportional to 437,072 and 953,576

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Solution

The third proportional to 437,072 and 953,576 is: 2,080,451.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,072 : 953,576 = 953,576 : x
  2. Step 2: Convert to fraction form
    437,072/953,576 = 953,576/x
  3. Step 3: Cross multiply
    437,072x = 953,576 × 953,576
  4. Step 4: Simplify right side
    437,072x = 909,307,187,776
  5. Step 5: Solve for x
    x = 909,307,187,776/437,072
  6. Step 6: Final answer
    x = 2,080,451.71

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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.