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Finding the Third Proportional to 537,390 and 1,173,024

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Solution

The third proportional to 537,390 and 1,173,024 is: 2,560,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,390 : 1,173,024 = 1,173,024 : x
  2. Step 2: Convert to fraction form
    537,390/1,173,024 = 1,173,024/x
  3. Step 3: Cross multiply
    537,390x = 1,173,024 × 1,173,024
  4. Step 4: Simplify right side
    537,390x = 1,375,985,304,576
  5. Step 5: Solve for x
    x = 1,375,985,304,576/537,390
  6. Step 6: Final answer
    x = 2,560,496.67

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