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Finding the Third Proportional to 597,951.50 and 919,070.25

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Solution

The third proportional to 597,951.50 and 919,070.25 is: 1,412,639.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,951.50 : 919,070.25 = 919,070.25 : x
  2. Step 2: Convert to fraction form
    597,951.50/919,070.25 = 919,070.25/x
  3. Step 3: Cross multiply
    597,951.50x = 919,070.25 × 919,070.25
  4. Step 4: Simplify right side
    597,951.50x = 844,690,124,435.06
  5. Step 5: Solve for x
    x = 844,690,124,435.06/597,951.50
  6. Step 6: Final answer
    x = 1,412,639.86

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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.