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Finding the Third Proportional to 488,572 and 1,076,532

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Solution

The third proportional to 488,572 and 1,076,532 is: 2,372,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,572 : 1,076,532 = 1,076,532 : x
  2. Step 2: Convert to fraction form
    488,572/1,076,532 = 1,076,532/x
  3. Step 3: Cross multiply
    488,572x = 1,076,532 × 1,076,532
  4. Step 4: Simplify right side
    488,572x = 1,158,921,147,024
  5. Step 5: Solve for x
    x = 1,158,921,147,024/488,572
  6. Step 6: Final answer
    x = 2,372,058.05

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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.