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Finding the Third Proportional to 535,754 and 1,178,644

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Solution

The third proportional to 535,754 and 1,178,644 is: 2,592,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,754 : 1,178,644 = 1,178,644 : x
  2. Step 2: Convert to fraction form
    535,754/1,178,644 = 1,178,644/x
  3. Step 3: Cross multiply
    535,754x = 1,178,644 × 1,178,644
  4. Step 4: Simplify right side
    535,754x = 1,389,201,678,736
  5. Step 5: Solve for x
    x = 1,389,201,678,736/535,754
  6. Step 6: Final answer
    x = 2,592,984.24

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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.