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Finding the Third Proportional to 757,096.50 and 1,163,706

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Solution

The third proportional to 757,096.50 and 1,163,706 is: 1,788,690.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,096.50 : 1,163,706 = 1,163,706 : x
  2. Step 2: Convert to fraction form
    757,096.50/1,163,706 = 1,163,706/x
  3. Step 3: Cross multiply
    757,096.50x = 1,163,706 × 1,163,706
  4. Step 4: Simplify right side
    757,096.50x = 1,354,211,654,436
  5. Step 5: Solve for x
    x = 1,354,211,654,436/757,096.50
  6. Step 6: Final answer
    x = 1,788,690.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.