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Finding the Third Proportional to 964,620 and 1,419,048

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Solution

The third proportional to 964,620 and 1,419,048 is: 2,087,554.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,620 : 1,419,048 = 1,419,048 : x
  2. Step 2: Convert to fraction form
    964,620/1,419,048 = 1,419,048/x
  3. Step 3: Cross multiply
    964,620x = 1,419,048 × 1,419,048
  4. Step 4: Simplify right side
    964,620x = 2,013,697,226,304
  5. Step 5: Solve for x
    x = 2,013,697,226,304/964,620
  6. Step 6: Final answer
    x = 2,087,554.92

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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.