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Finding the Third Proportional to 447,948 and 967,154.63

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Solution

The third proportional to 447,948 and 967,154.63 is: 2,088,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,948 : 967,154.63 = 967,154.63 : x
  2. Step 2: Convert to fraction form
    447,948/967,154.63 = 967,154.63/x
  3. Step 3: Cross multiply
    447,948x = 967,154.63 × 967,154.63
  4. Step 4: Simplify right side
    447,948x = 935,388,068,658.89
  5. Step 5: Solve for x
    x = 935,388,068,658.89/447,948
  6. Step 6: Final answer
    x = 2,088,162.17

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.