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Finding the Third Proportional to 1,076,716 and 1,462,902

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Solution

The third proportional to 1,076,716 and 1,462,902 is: 1,987,601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,716 : 1,462,902 = 1,462,902 : x
  2. Step 2: Convert to fraction form
    1,076,716/1,462,902 = 1,462,902/x
  3. Step 3: Cross multiply
    1,076,716x = 1,462,902 × 1,462,902
  4. Step 4: Simplify right side
    1,076,716x = 2,140,082,261,604
  5. Step 5: Solve for x
    x = 2,140,082,261,604/1,076,716
  6. Step 6: Final answer
    x = 1,987,601.43

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.