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Finding the Third Proportional to 829,003.50 and 1,280,124

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Solution

The third proportional to 829,003.50 and 1,280,124 is: 1,976,731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,003.50 : 1,280,124 = 1,280,124 : x
  2. Step 2: Convert to fraction form
    829,003.50/1,280,124 = 1,280,124/x
  3. Step 3: Cross multiply
    829,003.50x = 1,280,124 × 1,280,124
  4. Step 4: Simplify right side
    829,003.50x = 1,638,717,455,376
  5. Step 5: Solve for x
    x = 1,638,717,455,376/829,003.50
  6. Step 6: Final answer
    x = 1,976,731.65

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