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Finding the Third Proportional to 964,930 and 1,419,329

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Solution

The third proportional to 964,930 and 1,419,329 is: 2,087,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,930 : 1,419,329 = 1,419,329 : x
  2. Step 2: Convert to fraction form
    964,930/1,419,329 = 1,419,329/x
  3. Step 3: Cross multiply
    964,930x = 1,419,329 × 1,419,329
  4. Step 4: Simplify right side
    964,930x = 2,014,494,810,241
  5. Step 5: Solve for x
    x = 2,014,494,810,241/964,930
  6. Step 6: Final answer
    x = 2,087,710.83

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.