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Finding the Third Proportional to 501,996 and 1,076,784

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Solution

The third proportional to 501,996 and 1,076,784 is: 2,309,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,996 : 1,076,784 = 1,076,784 : x
  2. Step 2: Convert to fraction form
    501,996/1,076,784 = 1,076,784/x
  3. Step 3: Cross multiply
    501,996x = 1,076,784 × 1,076,784
  4. Step 4: Simplify right side
    501,996x = 1,159,463,782,656
  5. Step 5: Solve for x
    x = 1,159,463,782,656/501,996
  6. Step 6: Final answer
    x = 2,309,707.21

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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.