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Finding the Third Proportional to 1,076,784 and 2,331,888

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Solution

The third proportional to 1,076,784 and 2,331,888 is: 5,049,946.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,784 : 2,331,888 = 2,331,888 : x
  2. Step 2: Convert to fraction form
    1,076,784/2,331,888 = 2,331,888/x
  3. Step 3: Cross multiply
    1,076,784x = 2,331,888 × 2,331,888
  4. Step 4: Simplify right side
    1,076,784x = 5,437,701,644,544
  5. Step 5: Solve for x
    x = 5,437,701,644,544/1,076,784
  6. Step 6: Final answer
    x = 5,049,946.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.