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Finding the Third Proportional to 637,828 and 986,982

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Solution

The third proportional to 637,828 and 986,982 is: 1,527,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,828 : 986,982 = 986,982 : x
  2. Step 2: Convert to fraction form
    637,828/986,982 = 986,982/x
  3. Step 3: Cross multiply
    637,828x = 986,982 × 986,982
  4. Step 4: Simplify right side
    637,828x = 974,133,468,324
  5. Step 5: Solve for x
    x = 974,133,468,324/637,828
  6. Step 6: Final answer
    x = 1,527,266.71

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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.