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Finding the Third Proportional to 477,898 and 1,011,156

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Solution

The third proportional to 477,898 and 1,011,156 is: 2,139,444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,898 : 1,011,156 = 1,011,156 : x
  2. Step 2: Convert to fraction form
    477,898/1,011,156 = 1,011,156/x
  3. Step 3: Cross multiply
    477,898x = 1,011,156 × 1,011,156
  4. Step 4: Simplify right side
    477,898x = 1,022,436,456,336
  5. Step 5: Solve for x
    x = 1,022,436,456,336/477,898
  6. Step 6: Final answer
    x = 2,139,444.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.