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Finding the Third Proportional to 453,048 and 977,025

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Solution

The third proportional to 453,048 and 977,025 is: 2,107,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,048 : 977,025 = 977,025 : x
  2. Step 2: Convert to fraction form
    453,048/977,025 = 977,025/x
  3. Step 3: Cross multiply
    453,048x = 977,025 × 977,025
  4. Step 4: Simplify right side
    453,048x = 954,577,850,625
  5. Step 5: Solve for x
    x = 954,577,850,625/453,048
  6. Step 6: Final answer
    x = 2,107,012.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.