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Finding the Third Proportional to 574,240 and 1,177,136

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Solution

The third proportional to 574,240 and 1,177,136 is: 2,413,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,240 : 1,177,136 = 1,177,136 : x
  2. Step 2: Convert to fraction form
    574,240/1,177,136 = 1,177,136/x
  3. Step 3: Cross multiply
    574,240x = 1,177,136 × 1,177,136
  4. Step 4: Simplify right side
    574,240x = 1,385,649,162,496
  5. Step 5: Solve for x
    x = 1,385,649,162,496/574,240
  6. Step 6: Final answer
    x = 2,413,014.01

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.