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Finding the Third Proportional to 714,136.50 and 1,106,466.75

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Solution

The third proportional to 714,136.50 and 1,106,466.75 is: 1,714,334.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,136.50 : 1,106,466.75 = 1,106,466.75 : x
  2. Step 2: Convert to fraction form
    714,136.50/1,106,466.75 = 1,106,466.75/x
  3. Step 3: Cross multiply
    714,136.50x = 1,106,466.75 × 1,106,466.75
  4. Step 4: Simplify right side
    714,136.50x = 1,224,268,668,855.56
  5. Step 5: Solve for x
    x = 1,224,268,668,855.56/714,136.50
  6. Step 6: Final answer
    x = 1,714,334.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.