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Finding the Third Proportional to 488,543 and 1,076,477

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Solution

The third proportional to 488,543 and 1,076,477 is: 2,371,956.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,543 : 1,076,477 = 1,076,477 : x
  2. Step 2: Convert to fraction form
    488,543/1,076,477 = 1,076,477/x
  3. Step 3: Cross multiply
    488,543x = 1,076,477 × 1,076,477
  4. Step 4: Simplify right side
    488,543x = 1,158,802,731,529
  5. Step 5: Solve for x
    x = 1,158,802,731,529/488,543
  6. Step 6: Final answer
    x = 2,371,956.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.