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Finding the Third Proportional to 469,073 and 914,815

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Solution

The third proportional to 469,073 and 914,815 is: 1,784,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,073 : 914,815 = 914,815 : x
  2. Step 2: Convert to fraction form
    469,073/914,815 = 914,815/x
  3. Step 3: Cross multiply
    469,073x = 914,815 × 914,815
  4. Step 4: Simplify right side
    469,073x = 836,886,484,225
  5. Step 5: Solve for x
    x = 836,886,484,225/469,073
  6. Step 6: Final answer
    x = 1,784,128.45

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.