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Finding the Third Proportional to 986,016 and 1,409,040

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Solution

The third proportional to 986,016 and 1,409,040 is: 2,013,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,016 : 1,409,040 = 1,409,040 : x
  2. Step 2: Convert to fraction form
    986,016/1,409,040 = 1,409,040/x
  3. Step 3: Cross multiply
    986,016x = 1,409,040 × 1,409,040
  4. Step 4: Simplify right side
    986,016x = 1,985,393,721,600
  5. Step 5: Solve for x
    x = 1,985,393,721,600/986,016
  6. Step 6: Final answer
    x = 2,013,551.22

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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.