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Finding the Third Proportional to 444,486 and 977,964

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Solution

The third proportional to 444,486 and 977,964 is: 2,151,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,486 : 977,964 = 977,964 : x
  2. Step 2: Convert to fraction form
    444,486/977,964 = 977,964/x
  3. Step 3: Cross multiply
    444,486x = 977,964 × 977,964
  4. Step 4: Simplify right side
    444,486x = 956,413,585,296
  5. Step 5: Solve for x
    x = 956,413,585,296/444,486
  6. Step 6: Final answer
    x = 2,151,729.38

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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.