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Finding the Third Proportional to 1,014,784 and 2,182,656

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Solution

The third proportional to 1,014,784 and 2,182,656 is: 4,694,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,784 : 2,182,656 = 2,182,656 : x
  2. Step 2: Convert to fraction form
    1,014,784/2,182,656 = 2,182,656/x
  3. Step 3: Cross multiply
    1,014,784x = 2,182,656 × 2,182,656
  4. Step 4: Simplify right side
    1,014,784x = 4,763,987,214,336
  5. Step 5: Solve for x
    x = 4,763,987,214,336/1,014,784
  6. Step 6: Final answer
    x = 4,694,582.51

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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.