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Finding the Third Proportional to 408,140 and 953,073

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Solution

The third proportional to 408,140 and 953,073 is: 2,225,579.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,140 : 953,073 = 953,073 : x
  2. Step 2: Convert to fraction form
    408,140/953,073 = 953,073/x
  3. Step 3: Cross multiply
    408,140x = 953,073 × 953,073
  4. Step 4: Simplify right side
    408,140x = 908,348,143,329
  5. Step 5: Solve for x
    x = 908,348,143,329/408,140
  6. Step 6: Final answer
    x = 2,225,579.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.