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Finding the Third Proportional to 552,384 and 1,210,203

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Solution

The third proportional to 552,384 and 1,210,203 is: 2,651,400.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,384 : 1,210,203 = 1,210,203 : x
  2. Step 2: Convert to fraction form
    552,384/1,210,203 = 1,210,203/x
  3. Step 3: Cross multiply
    552,384x = 1,210,203 × 1,210,203
  4. Step 4: Simplify right side
    552,384x = 1,464,591,301,209
  5. Step 5: Solve for x
    x = 1,464,591,301,209/552,384
  6. Step 6: Final answer
    x = 2,651,400.66

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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.