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Finding the Third Proportional to 536,472 and 1,117,008

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Solution

The third proportional to 536,472 and 1,117,008 is: 2,325,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,472 : 1,117,008 = 1,117,008 : x
  2. Step 2: Convert to fraction form
    536,472/1,117,008 = 1,117,008/x
  3. Step 3: Cross multiply
    536,472x = 1,117,008 × 1,117,008
  4. Step 4: Simplify right side
    536,472x = 1,247,706,872,064
  5. Step 5: Solve for x
    x = 1,247,706,872,064/536,472
  6. Step 6: Final answer
    x = 2,325,763.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.