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Finding the Third Proportional to 474,416 and 1,042,136

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Solution

The third proportional to 474,416 and 1,042,136 is: 2,289,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,416 : 1,042,136 = 1,042,136 : x
  2. Step 2: Convert to fraction form
    474,416/1,042,136 = 1,042,136/x
  3. Step 3: Cross multiply
    474,416x = 1,042,136 × 1,042,136
  4. Step 4: Simplify right side
    474,416x = 1,086,047,442,496
  5. Step 5: Solve for x
    x = 1,086,047,442,496/474,416
  6. Step 6: Final answer
    x = 2,289,230.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.