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Finding the Third Proportional to 872,697 and 1,347,945

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Solution

The third proportional to 872,697 and 1,347,945 is: 2,082,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,697 : 1,347,945 = 1,347,945 : x
  2. Step 2: Convert to fraction form
    872,697/1,347,945 = 1,347,945/x
  3. Step 3: Cross multiply
    872,697x = 1,347,945 × 1,347,945
  4. Step 4: Simplify right side
    872,697x = 1,816,955,723,025
  5. Step 5: Solve for x
    x = 1,816,955,723,025/872,697
  6. Step 6: Final answer
    x = 2,082,000.65

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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.