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Finding the Third Proportional to 546,108.75 and 1,197,193.13

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Solution

The third proportional to 546,108.75 and 1,197,193.13 is: 2,624,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,108.75 : 1,197,193.13 = 1,197,193.13 : x
  2. Step 2: Convert to fraction form
    546,108.75/1,197,193.13 = 1,197,193.13/x
  3. Step 3: Cross multiply
    546,108.75x = 1,197,193.13 × 1,197,193.13
  4. Step 4: Simplify right side
    546,108.75x = 1,433,271,378,547.27
  5. Step 5: Solve for x
    x = 1,433,271,378,547.27/546,108.75
  6. Step 6: Final answer
    x = 2,624,516.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.