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Finding the Third Proportional to 1,680,458.50 and 2,582,986

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Solution

The third proportional to 1,680,458.50 and 2,582,986 is: 3,970,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,458.50 : 2,582,986 = 2,582,986 : x
  2. Step 2: Convert to fraction form
    1,680,458.50/2,582,986 = 2,582,986/x
  3. Step 3: Cross multiply
    1,680,458.50x = 2,582,986 × 2,582,986
  4. Step 4: Simplify right side
    1,680,458.50x = 6,671,816,676,196
  5. Step 5: Solve for x
    x = 6,671,816,676,196/1,680,458.50
  6. Step 6: Final answer
    x = 3,970,235.91

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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.