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Finding the Third Proportional to 552,848 and 1,161,400

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Solution

The third proportional to 552,848 and 1,161,400 is: 2,439,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,848 : 1,161,400 = 1,161,400 : x
  2. Step 2: Convert to fraction form
    552,848/1,161,400 = 1,161,400/x
  3. Step 3: Cross multiply
    552,848x = 1,161,400 × 1,161,400
  4. Step 4: Simplify right side
    552,848x = 1,348,849,960,000
  5. Step 5: Solve for x
    x = 1,348,849,960,000/552,848
  6. Step 6: Final answer
    x = 2,439,820.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.