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Finding the Third Proportional to 834,520 and 1,133,612

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Solution

The third proportional to 834,520 and 1,133,612 is: 1,539,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,520 : 1,133,612 = 1,133,612 : x
  2. Step 2: Convert to fraction form
    834,520/1,133,612 = 1,133,612/x
  3. Step 3: Cross multiply
    834,520x = 1,133,612 × 1,133,612
  4. Step 4: Simplify right side
    834,520x = 1,285,076,166,544
  5. Step 5: Solve for x
    x = 1,285,076,166,544/834,520
  6. Step 6: Final answer
    x = 1,539,898.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.