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Finding the Third Proportional to 1,160,165.63 and 2,491,706.63

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Solution

The third proportional to 1,160,165.63 and 2,491,706.63 is: 5,351,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,165.63 : 2,491,706.63 = 2,491,706.63 : x
  2. Step 2: Convert to fraction form
    1,160,165.63/2,491,706.63 = 2,491,706.63/x
  3. Step 3: Cross multiply
    1,160,165.63x = 2,491,706.63 × 2,491,706.63
  4. Step 4: Simplify right side
    1,160,165.63x = 6,208,601,905,068.89
  5. Step 5: Solve for x
    x = 6,208,601,905,068.89/1,160,165.63
  6. Step 6: Final answer
    x = 5,351,478.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.