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Finding the Third Proportional to 545,299 and 1,166,413

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Solution

The third proportional to 545,299 and 1,166,413 is: 2,494,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,299 : 1,166,413 = 1,166,413 : x
  2. Step 2: Convert to fraction form
    545,299/1,166,413 = 1,166,413/x
  3. Step 3: Cross multiply
    545,299x = 1,166,413 × 1,166,413
  4. Step 4: Simplify right side
    545,299x = 1,360,519,286,569
  5. Step 5: Solve for x
    x = 1,360,519,286,569/545,299
  6. Step 6: Final answer
    x = 2,494,996.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.