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Finding the Third Proportional to 445,197 and 1,049,871

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Solution

The third proportional to 445,197 and 1,049,871 is: 2,475,823.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,197 : 1,049,871 = 1,049,871 : x
  2. Step 2: Convert to fraction form
    445,197/1,049,871 = 1,049,871/x
  3. Step 3: Cross multiply
    445,197x = 1,049,871 × 1,049,871
  4. Step 4: Simplify right side
    445,197x = 1,102,229,116,641
  5. Step 5: Solve for x
    x = 1,102,229,116,641/445,197
  6. Step 6: Final answer
    x = 2,475,823.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.