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Finding the Third Proportional to 469,075 and 914,819

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Solution

The third proportional to 469,075 and 914,819 is: 1,784,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,075 : 914,819 = 914,819 : x
  2. Step 2: Convert to fraction form
    469,075/914,819 = 914,819/x
  3. Step 3: Cross multiply
    469,075x = 914,819 × 914,819
  4. Step 4: Simplify right side
    469,075x = 836,893,802,761
  5. Step 5: Solve for x
    x = 836,893,802,761/469,075
  6. Step 6: Final answer
    x = 1,784,136.44

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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.