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Finding the Third Proportional to 504,768 and 1,076,916

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Solution

The third proportional to 504,768 and 1,076,916 is: 2,297,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,768 : 1,076,916 = 1,076,916 : x
  2. Step 2: Convert to fraction form
    504,768/1,076,916 = 1,076,916/x
  3. Step 3: Cross multiply
    504,768x = 1,076,916 × 1,076,916
  4. Step 4: Simplify right side
    504,768x = 1,159,748,071,056
  5. Step 5: Solve for x
    x = 1,159,748,071,056/504,768
  6. Step 6: Final answer
    x = 2,297,586.36

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.