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Finding the Third Proportional to 768,186 and 1,106,523

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Solution

The third proportional to 768,186 and 1,106,523 is: 1,593,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,186 : 1,106,523 = 1,106,523 : x
  2. Step 2: Convert to fraction form
    768,186/1,106,523 = 1,106,523/x
  3. Step 3: Cross multiply
    768,186x = 1,106,523 × 1,106,523
  4. Step 4: Simplify right side
    768,186x = 1,224,393,149,529
  5. Step 5: Solve for x
    x = 1,224,393,149,529/768,186
  6. Step 6: Final answer
    x = 1,593,875.90

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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.