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Finding the Third Proportional to 917,082 and 1,347,435

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Solution

The third proportional to 917,082 and 1,347,435 is: 1,979,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,082 : 1,347,435 = 1,347,435 : x
  2. Step 2: Convert to fraction form
    917,082/1,347,435 = 1,347,435/x
  3. Step 3: Cross multiply
    917,082x = 1,347,435 × 1,347,435
  4. Step 4: Simplify right side
    917,082x = 1,815,581,079,225
  5. Step 5: Solve for x
    x = 1,815,581,079,225/917,082
  6. Step 6: Final answer
    x = 1,979,736.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.