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Finding the Third Proportional to 736,281 and 1,080,171

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Solution

The third proportional to 736,281 and 1,080,171 is: 1,584,679.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,281 : 1,080,171 = 1,080,171 : x
  2. Step 2: Convert to fraction form
    736,281/1,080,171 = 1,080,171/x
  3. Step 3: Cross multiply
    736,281x = 1,080,171 × 1,080,171
  4. Step 4: Simplify right side
    736,281x = 1,166,769,389,241
  5. Step 5: Solve for x
    x = 1,166,769,389,241/736,281
  6. Step 6: Final answer
    x = 1,584,679.48

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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.