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Finding the Third Proportional to 496,123 and 1,076,264

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Solution

The third proportional to 496,123 and 1,076,264 is: 2,334,792.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,123 : 1,076,264 = 1,076,264 : x
  2. Step 2: Convert to fraction form
    496,123/1,076,264 = 1,076,264/x
  3. Step 3: Cross multiply
    496,123x = 1,076,264 × 1,076,264
  4. Step 4: Simplify right side
    496,123x = 1,158,344,197,696
  5. Step 5: Solve for x
    x = 1,158,344,197,696/496,123
  6. Step 6: Final answer
    x = 2,334,792.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.