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Finding the Third Proportional to 1,197,490.50 and 2,594,292.75

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Solution

The third proportional to 1,197,490.50 and 2,594,292.75 is: 5,620,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,490.50 : 2,594,292.75 = 2,594,292.75 : x
  2. Step 2: Convert to fraction form
    1,197,490.50/2,594,292.75 = 2,594,292.75/x
  3. Step 3: Cross multiply
    1,197,490.50x = 2,594,292.75 × 2,594,292.75
  4. Step 4: Simplify right side
    1,197,490.50x = 6,730,354,872,702.56
  5. Step 5: Solve for x
    x = 6,730,354,872,702.56/1,197,490.50
  6. Step 6: Final answer
    x = 5,620,382.69

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.