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Finding the Third Proportional to 488,524 and 1,076,440

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Solution

The third proportional to 488,524 and 1,076,440 is: 2,371,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,524 : 1,076,440 = 1,076,440 : x
  2. Step 2: Convert to fraction form
    488,524/1,076,440 = 1,076,440/x
  3. Step 3: Cross multiply
    488,524x = 1,076,440 × 1,076,440
  4. Step 4: Simplify right side
    488,524x = 1,158,723,073,600
  5. Step 5: Solve for x
    x = 1,158,723,073,600/488,524
  6. Step 6: Final answer
    x = 2,371,885.67

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