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Finding the Third Proportional to 717,811 and 1,045,558

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Solution

The third proportional to 717,811 and 1,045,558 is: 1,522,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,811 : 1,045,558 = 1,045,558 : x
  2. Step 2: Convert to fraction form
    717,811/1,045,558 = 1,045,558/x
  3. Step 3: Cross multiply
    717,811x = 1,045,558 × 1,045,558
  4. Step 4: Simplify right side
    717,811x = 1,093,191,531,364
  5. Step 5: Solve for x
    x = 1,093,191,531,364/717,811
  6. Step 6: Final answer
    x = 1,522,951.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.