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Finding the Third Proportional to 723,576 and 1,466,856

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Solution

The third proportional to 723,576 and 1,466,856 is: 2,973,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,576 : 1,466,856 = 1,466,856 : x
  2. Step 2: Convert to fraction form
    723,576/1,466,856 = 1,466,856/x
  3. Step 3: Cross multiply
    723,576x = 1,466,856 × 1,466,856
  4. Step 4: Simplify right side
    723,576x = 2,151,666,524,736
  5. Step 5: Solve for x
    x = 2,151,666,524,736/723,576
  6. Step 6: Final answer
    x = 2,973,656.57

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.