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Finding the Third Proportional to 543,676.50 and 1,176,954.75

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Solution

The third proportional to 543,676.50 and 1,176,954.75 is: 2,547,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,676.50 : 1,176,954.75 = 1,176,954.75 : x
  2. Step 2: Convert to fraction form
    543,676.50/1,176,954.75 = 1,176,954.75/x
  3. Step 3: Cross multiply
    543,676.50x = 1,176,954.75 × 1,176,954.75
  4. Step 4: Simplify right side
    543,676.50x = 1,385,222,483,547.56
  5. Step 5: Solve for x
    x = 1,385,222,483,547.56/543,676.50
  6. Step 6: Final answer
    x = 2,547,880.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.