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Finding the Third Proportional to 686,436 and 1,050,082

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Solution

The third proportional to 686,436 and 1,050,082 is: 1,606,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,436 : 1,050,082 = 1,050,082 : x
  2. Step 2: Convert to fraction form
    686,436/1,050,082 = 1,050,082/x
  3. Step 3: Cross multiply
    686,436x = 1,050,082 × 1,050,082
  4. Step 4: Simplify right side
    686,436x = 1,102,672,206,724
  5. Step 5: Solve for x
    x = 1,102,672,206,724/686,436
  6. Step 6: Final answer
    x = 1,606,372.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.