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Finding the Third Proportional to 447,870 and 671,522

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Solution

The third proportional to 447,870 and 671,522 is: 1,006,858.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,870 : 671,522 = 671,522 : x
  2. Step 2: Convert to fraction form
    447,870/671,522 = 671,522/x
  3. Step 3: Cross multiply
    447,870x = 671,522 × 671,522
  4. Step 4: Simplify right side
    447,870x = 450,941,796,484
  5. Step 5: Solve for x
    x = 450,941,796,484/447,870
  6. Step 6: Final answer
    x = 1,006,858.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.