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Finding the Third Proportional to 463,722 and 977,256

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Solution

The third proportional to 463,722 and 977,256 is: 2,059,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,722 : 977,256 = 977,256 : x
  2. Step 2: Convert to fraction form
    463,722/977,256 = 977,256/x
  3. Step 3: Cross multiply
    463,722x = 977,256 × 977,256
  4. Step 4: Simplify right side
    463,722x = 955,029,289,536
  5. Step 5: Solve for x
    x = 955,029,289,536/463,722
  6. Step 6: Final answer
    x = 2,059,486.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.