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Finding the Third Proportional to 986,017 and 1,409,041

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Solution

The third proportional to 986,017 and 1,409,041 is: 2,013,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,017 : 1,409,041 = 1,409,041 : x
  2. Step 2: Convert to fraction form
    986,017/1,409,041 = 1,409,041/x
  3. Step 3: Cross multiply
    986,017x = 1,409,041 × 1,409,041
  4. Step 4: Simplify right side
    986,017x = 1,985,396,539,681
  5. Step 5: Solve for x
    x = 1,985,396,539,681/986,017
  6. Step 6: Final answer
    x = 2,013,552.04

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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.