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Finding the Third Proportional to 768,188 and 1,106,526

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Solution

The third proportional to 768,188 and 1,106,526 is: 1,593,880.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,188 : 1,106,526 = 1,106,526 : x
  2. Step 2: Convert to fraction form
    768,188/1,106,526 = 1,106,526/x
  3. Step 3: Cross multiply
    768,188x = 1,106,526 × 1,106,526
  4. Step 4: Simplify right side
    768,188x = 1,224,399,788,676
  5. Step 5: Solve for x
    x = 1,224,399,788,676/768,188
  6. Step 6: Final answer
    x = 1,593,880.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.