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Finding the Third Proportional to 546,113 and 1,197,203

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Solution

The third proportional to 546,113 and 1,197,203 is: 2,624,539.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,113 : 1,197,203 = 1,197,203 : x
  2. Step 2: Convert to fraction form
    546,113/1,197,203 = 1,197,203/x
  3. Step 3: Cross multiply
    546,113x = 1,197,203 × 1,197,203
  4. Step 4: Simplify right side
    546,113x = 1,433,295,023,209
  5. Step 5: Solve for x
    x = 1,433,295,023,209/546,113
  6. Step 6: Final answer
    x = 2,624,539.29

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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.