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Finding the Third Proportional to 535,758 and 1,178,652

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Solution

The third proportional to 535,758 and 1,178,652 is: 2,593,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,758 : 1,178,652 = 1,178,652 : x
  2. Step 2: Convert to fraction form
    535,758/1,178,652 = 1,178,652/x
  3. Step 3: Cross multiply
    535,758x = 1,178,652 × 1,178,652
  4. Step 4: Simplify right side
    535,758x = 1,389,220,537,104
  5. Step 5: Solve for x
    x = 1,389,220,537,104/535,758
  6. Step 6: Final answer
    x = 2,593,000.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.