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Finding the Third Proportional to 459,868 and 1,005,271

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Solution

The third proportional to 459,868 and 1,005,271 is: 2,197,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,868 : 1,005,271 = 1,005,271 : x
  2. Step 2: Convert to fraction form
    459,868/1,005,271 = 1,005,271/x
  3. Step 3: Cross multiply
    459,868x = 1,005,271 × 1,005,271
  4. Step 4: Simplify right side
    459,868x = 1,010,569,783,441
  5. Step 5: Solve for x
    x = 1,010,569,783,441/459,868
  6. Step 6: Final answer
    x = 2,197,521.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.