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Finding the Third Proportional to 548,740 and 1,173,548

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Solution

The third proportional to 548,740 and 1,173,548 is: 2,509,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,740 : 1,173,548 = 1,173,548 : x
  2. Step 2: Convert to fraction form
    548,740/1,173,548 = 1,173,548/x
  3. Step 3: Cross multiply
    548,740x = 1,173,548 × 1,173,548
  4. Step 4: Simplify right side
    548,740x = 1,377,214,908,304
  5. Step 5: Solve for x
    x = 1,377,214,908,304/548,740
  6. Step 6: Final answer
    x = 2,509,776.78

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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.