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Finding the Third Proportional to 444,692 and 977,948

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Solution

The third proportional to 444,692 and 977,948 is: 2,150,662.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,692 : 977,948 = 977,948 : x
  2. Step 2: Convert to fraction form
    444,692/977,948 = 977,948/x
  3. Step 3: Cross multiply
    444,692x = 977,948 × 977,948
  4. Step 4: Simplify right side
    444,692x = 956,382,290,704
  5. Step 5: Solve for x
    x = 956,382,290,704/444,692
  6. Step 6: Final answer
    x = 2,150,662.24

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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.