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Finding the Third Proportional to 488,564 and 1,076,516

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Solution

The third proportional to 488,564 and 1,076,516 is: 2,372,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,564 : 1,076,516 = 1,076,516 : x
  2. Step 2: Convert to fraction form
    488,564/1,076,516 = 1,076,516/x
  3. Step 3: Cross multiply
    488,564x = 1,076,516 × 1,076,516
  4. Step 4: Simplify right side
    488,564x = 1,158,886,698,256
  5. Step 5: Solve for x
    x = 1,158,886,698,256/488,564
  6. Step 6: Final answer
    x = 2,372,026.38

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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.