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Finding the Third Proportional to 537,599.81 and 1,173,000.38

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Solution

The third proportional to 537,599.81 and 1,173,000.38 is: 2,559,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,599.81 : 1,173,000.38 = 1,173,000.38 : x
  2. Step 2: Convert to fraction form
    537,599.81/1,173,000.38 = 1,173,000.38/x
  3. Step 3: Cross multiply
    537,599.81x = 1,173,000.38 × 1,173,000.38
  4. Step 4: Simplify right side
    537,599.81x = 1,375,929,879,750.14
  5. Step 5: Solve for x
    x = 1,375,929,879,750.14/537,599.81
  6. Step 6: Final answer
    x = 2,559,394.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.