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Finding the Third Proportional to 560,657.95 and 1,194,717.09

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Solution

The third proportional to 560,657.95 and 1,194,717.09 is: 2,545,846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,657.95 : 1,194,717.09 = 1,194,717.09 : x
  2. Step 2: Convert to fraction form
    560,657.95/1,194,717.09 = 1,194,717.09/x
  3. Step 3: Cross multiply
    560,657.95x = 1,194,717.09 × 1,194,717.09
  4. Step 4: Simplify right side
    560,657.95x = 1,427,348,934,098.45
  5. Step 5: Solve for x
    x = 1,427,348,934,098.45/560,657.95
  6. Step 6: Final answer
    x = 2,545,846.23

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.