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Finding the Third Proportional to 828,426 and 1,777,684

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Solution

The third proportional to 828,426 and 1,777,684 is: 3,814,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,426 : 1,777,684 = 1,777,684 : x
  2. Step 2: Convert to fraction form
    828,426/1,777,684 = 1,777,684/x
  3. Step 3: Cross multiply
    828,426x = 1,777,684 × 1,777,684
  4. Step 4: Simplify right side
    828,426x = 3,160,160,403,856
  5. Step 5: Solve for x
    x = 3,160,160,403,856/828,426
  6. Step 6: Final answer
    x = 3,814,656.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.