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Finding the Third Proportional to 544,740 and 840,084

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Solution

The third proportional to 544,740 and 840,084 is: 1,295,555.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,740 : 840,084 = 840,084 : x
  2. Step 2: Convert to fraction form
    544,740/840,084 = 840,084/x
  3. Step 3: Cross multiply
    544,740x = 840,084 × 840,084
  4. Step 4: Simplify right side
    544,740x = 705,741,127,056
  5. Step 5: Solve for x
    x = 705,741,127,056/544,740
  6. Step 6: Final answer
    x = 1,295,555.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.