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Finding the Third Proportional to 420,176 and 899,416

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Solution

The third proportional to 420,176 and 899,416 is: 1,925,262.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,176 : 899,416 = 899,416 : x
  2. Step 2: Convert to fraction form
    420,176/899,416 = 899,416/x
  3. Step 3: Cross multiply
    420,176x = 899,416 × 899,416
  4. Step 4: Simplify right side
    420,176x = 808,949,141,056
  5. Step 5: Solve for x
    x = 808,949,141,056/420,176
  6. Step 6: Final answer
    x = 1,925,262.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.