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Finding the Third Proportional to 986,048 and 1,409,088

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Solution

The third proportional to 986,048 and 1,409,088 is: 2,013,623.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,048 : 1,409,088 = 1,409,088 : x
  2. Step 2: Convert to fraction form
    986,048/1,409,088 = 1,409,088/x
  3. Step 3: Cross multiply
    986,048x = 1,409,088 × 1,409,088
  4. Step 4: Simplify right side
    986,048x = 1,985,528,991,744
  5. Step 5: Solve for x
    x = 1,985,528,991,744/986,048
  6. Step 6: Final answer
    x = 2,013,623.06

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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.