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Finding the Third Proportional to 459,638 and 977,962

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Solution

The third proportional to 459,638 and 977,962 is: 2,080,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,638 : 977,962 = 977,962 : x
  2. Step 2: Convert to fraction form
    459,638/977,962 = 977,962/x
  3. Step 3: Cross multiply
    459,638x = 977,962 × 977,962
  4. Step 4: Simplify right side
    459,638x = 956,409,673,444
  5. Step 5: Solve for x
    x = 956,409,673,444/459,638
  6. Step 6: Final answer
    x = 2,080,788.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.