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Finding the Third Proportional to 552,414 and 1,210,230

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Solution

The third proportional to 552,414 and 1,210,230 is: 2,651,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,414 : 1,210,230 = 1,210,230 : x
  2. Step 2: Convert to fraction form
    552,414/1,210,230 = 1,210,230/x
  3. Step 3: Cross multiply
    552,414x = 1,210,230 × 1,210,230
  4. Step 4: Simplify right side
    552,414x = 1,464,656,652,900
  5. Step 5: Solve for x
    x = 1,464,656,652,900/552,414
  6. Step 6: Final answer
    x = 2,651,374.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.