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Finding the Third Proportional to 792,314 and 1,076,523

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Solution

The third proportional to 792,314 and 1,076,523 is: 1,462,679.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,314 : 1,076,523 = 1,076,523 : x
  2. Step 2: Convert to fraction form
    792,314/1,076,523 = 1,076,523/x
  3. Step 3: Cross multiply
    792,314x = 1,076,523 × 1,076,523
  4. Step 4: Simplify right side
    792,314x = 1,158,901,769,529
  5. Step 5: Solve for x
    x = 1,158,901,769,529/792,314
  6. Step 6: Final answer
    x = 1,462,679.91

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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.