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Finding the Third Proportional to 407,178 and 886,634

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Solution

The third proportional to 407,178 and 886,634 is: 1,930,654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,178 : 886,634 = 886,634 : x
  2. Step 2: Convert to fraction form
    407,178/886,634 = 886,634/x
  3. Step 3: Cross multiply
    407,178x = 886,634 × 886,634
  4. Step 4: Simplify right side
    407,178x = 786,119,849,956
  5. Step 5: Solve for x
    x = 786,119,849,956/407,178
  6. Step 6: Final answer
    x = 1,930,654.04

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Why These Related Problems?

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