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Finding the Third Proportional to 463,660 and 977,826

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Solution

The third proportional to 463,660 and 977,826 is: 2,062,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,660 : 977,826 = 977,826 : x
  2. Step 2: Convert to fraction form
    463,660/977,826 = 977,826/x
  3. Step 3: Cross multiply
    463,660x = 977,826 × 977,826
  4. Step 4: Simplify right side
    463,660x = 956,143,686,276
  5. Step 5: Solve for x
    x = 956,143,686,276/463,660
  6. Step 6: Final answer
    x = 2,062,165.57

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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.