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Finding the Third Proportional to 986,021 and 1,409,046

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Solution

The third proportional to 986,021 and 1,409,046 is: 2,013,558.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,021 : 1,409,046 = 1,409,046 : x
  2. Step 2: Convert to fraction form
    986,021/1,409,046 = 1,409,046/x
  3. Step 3: Cross multiply
    986,021x = 1,409,046 × 1,409,046
  4. Step 4: Simplify right side
    986,021x = 1,985,410,630,116
  5. Step 5: Solve for x
    x = 1,985,410,630,116/986,021
  6. Step 6: Final answer
    x = 2,013,558.16

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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.