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Finding the Third Proportional to 444,698 and 977,971

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Solution

The third proportional to 444,698 and 977,971 is: 2,150,734.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,698 : 977,971 = 977,971 : x
  2. Step 2: Convert to fraction form
    444,698/977,971 = 977,971/x
  3. Step 3: Cross multiply
    444,698x = 977,971 × 977,971
  4. Step 4: Simplify right side
    444,698x = 956,427,276,841
  5. Step 5: Solve for x
    x = 956,427,276,841/444,698
  6. Step 6: Final answer
    x = 2,150,734.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.