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Finding the Third Proportional to 463,730 and 977,266

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Solution

The third proportional to 463,730 and 977,266 is: 2,059,493.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,730 : 977,266 = 977,266 : x
  2. Step 2: Convert to fraction form
    463,730/977,266 = 977,266/x
  3. Step 3: Cross multiply
    463,730x = 977,266 × 977,266
  4. Step 4: Simplify right side
    463,730x = 955,048,834,756
  5. Step 5: Solve for x
    x = 955,048,834,756/463,730
  6. Step 6: Final answer
    x = 2,059,493.31

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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.