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Finding the Third Proportional to 874,590.75 and 1,314,586.13

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Solution

The third proportional to 874,590.75 and 1,314,586.13 is: 1,975,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,590.75 : 1,314,586.13 = 1,314,586.13 : x
  2. Step 2: Convert to fraction form
    874,590.75/1,314,586.13 = 1,314,586.13/x
  3. Step 3: Cross multiply
    874,590.75x = 1,314,586.13 × 1,314,586.13
  4. Step 4: Simplify right side
    874,590.75x = 1,728,136,680,042.52
  5. Step 5: Solve for x
    x = 1,728,136,680,042.52/874,590.75
  6. Step 6: Final answer
    x = 1,975,937.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.