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Finding the Third Proportional to 986,912 and 2,113,684

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Solution

The third proportional to 986,912 and 2,113,684 is: 4,526,908.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    986,912 : 2,113,684 = 2,113,684 : x
  2. Step 2: Convert to fraction form
    986,912/2,113,684 = 2,113,684/x
  3. Step 3: Cross multiply
    986,912x = 2,113,684 × 2,113,684
  4. Step 4: Simplify right side
    986,912x = 4,467,660,051,856
  5. Step 5: Solve for x
    x = 4,467,660,051,856/986,912
  6. Step 6: Final answer
    x = 4,526,908.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.