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Finding the Third Proportional to 734,072 and 1,134,564

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Solution

The third proportional to 734,072 and 1,134,564 is: 1,753,554.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,072 : 1,134,564 = 1,134,564 : x
  2. Step 2: Convert to fraction form
    734,072/1,134,564 = 1,134,564/x
  3. Step 3: Cross multiply
    734,072x = 1,134,564 × 1,134,564
  4. Step 4: Simplify right side
    734,072x = 1,287,235,470,096
  5. Step 5: Solve for x
    x = 1,287,235,470,096/734,072
  6. Step 6: Final answer
    x = 1,753,554.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.