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Finding the Third Proportional to 986,006 and 1,409,025

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Solution

The third proportional to 986,006 and 1,409,025 is: 2,013,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,006 : 1,409,025 = 1,409,025 : x
  2. Step 2: Convert to fraction form
    986,006/1,409,025 = 1,409,025/x
  3. Step 3: Cross multiply
    986,006x = 1,409,025 × 1,409,025
  4. Step 4: Simplify right side
    986,006x = 1,985,351,450,625
  5. Step 5: Solve for x
    x = 1,985,351,450,625/986,006
  6. Step 6: Final answer
    x = 2,013,528.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.