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Finding the Third Proportional to 1,180,724 and 2,533,452

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Solution

The third proportional to 1,180,724 and 2,533,452 is: 5,435,968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,724 : 2,533,452 = 2,533,452 : x
  2. Step 2: Convert to fraction form
    1,180,724/2,533,452 = 2,533,452/x
  3. Step 3: Cross multiply
    1,180,724x = 2,533,452 × 2,533,452
  4. Step 4: Simplify right side
    1,180,724x = 6,418,379,036,304
  5. Step 5: Solve for x
    x = 6,418,379,036,304/1,180,724
  6. Step 6: Final answer
    x = 5,435,968.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.