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Finding the Third Proportional to 908,944 and 1,977,496

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Solution

The third proportional to 908,944 and 1,977,496 is: 4,302,234.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,944 : 1,977,496 = 1,977,496 : x
  2. Step 2: Convert to fraction form
    908,944/1,977,496 = 1,977,496/x
  3. Step 3: Cross multiply
    908,944x = 1,977,496 × 1,977,496
  4. Step 4: Simplify right side
    908,944x = 3,910,490,430,016
  5. Step 5: Solve for x
    x = 3,910,490,430,016/908,944
  6. Step 6: Final answer
    x = 4,302,234.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.