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Finding the Third Proportional to 1,641,344 and 2,565,696

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Solution

The third proportional to 1,641,344 and 2,565,696 is: 4,010,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641,344 : 2,565,696 = 2,565,696 : x
  2. Step 2: Convert to fraction form
    1,641,344/2,565,696 = 2,565,696/x
  3. Step 3: Cross multiply
    1,641,344x = 2,565,696 × 2,565,696
  4. Step 4: Simplify right side
    1,641,344x = 6,582,795,964,416
  5. Step 5: Solve for x
    x = 6,582,795,964,416/1,641,344
  6. Step 6: Final answer
    x = 4,010,613.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.