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Finding the Third Proportional to 1,076,414 and 1,462,503

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Solution

The third proportional to 1,076,414 and 1,462,503 is: 1,987,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,414 : 1,462,503 = 1,462,503 : x
  2. Step 2: Convert to fraction form
    1,076,414/1,462,503 = 1,462,503/x
  3. Step 3: Cross multiply
    1,076,414x = 1,462,503 × 1,462,503
  4. Step 4: Simplify right side
    1,076,414x = 2,138,915,025,009
  5. Step 5: Solve for x
    x = 2,138,915,025,009/1,076,414
  6. Step 6: Final answer
    x = 1,987,074.70

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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.