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Finding the Third Proportional to 1,105,784 and 2,411,656

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Solution

The third proportional to 1,105,784 and 2,411,656 is: 5,259,693.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,784 : 2,411,656 = 2,411,656 : x
  2. Step 2: Convert to fraction form
    1,105,784/2,411,656 = 2,411,656/x
  3. Step 3: Cross multiply
    1,105,784x = 2,411,656 × 2,411,656
  4. Step 4: Simplify right side
    1,105,784x = 5,816,084,662,336
  5. Step 5: Solve for x
    x = 5,816,084,662,336/1,105,784
  6. Step 6: Final answer
    x = 5,259,693.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.