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Finding the Third Proportional to 560,925 and 1,200,663

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Solution

The third proportional to 560,925 and 1,200,663 is: 2,570,025.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,925 : 1,200,663 = 1,200,663 : x
  2. Step 2: Convert to fraction form
    560,925/1,200,663 = 1,200,663/x
  3. Step 3: Cross multiply
    560,925x = 1,200,663 × 1,200,663
  4. Step 4: Simplify right side
    560,925x = 1,441,591,639,569
  5. Step 5: Solve for x
    x = 1,441,591,639,569/560,925
  6. Step 6: Final answer
    x = 2,570,025.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.