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Finding the Third Proportional to 734,589 and 1,076,733

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Solution

The third proportional to 734,589 and 1,076,733 is: 1,578,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,589 : 1,076,733 = 1,076,733 : x
  2. Step 2: Convert to fraction form
    734,589/1,076,733 = 1,076,733/x
  3. Step 3: Cross multiply
    734,589x = 1,076,733 × 1,076,733
  4. Step 4: Simplify right side
    734,589x = 1,159,353,953,289
  5. Step 5: Solve for x
    x = 1,159,353,953,289/734,589
  6. Step 6: Final answer
    x = 1,578,234.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.