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Finding the Third Proportional to 983,537.16 and 2,116,542.09

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Solution

The third proportional to 983,537.16 and 2,116,542.09 is: 4,554,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,537.16 : 2,116,542.09 = 2,116,542.09 : x
  2. Step 2: Convert to fraction form
    983,537.16/2,116,542.09 = 2,116,542.09/x
  3. Step 3: Cross multiply
    983,537.16x = 2,116,542.09 × 2,116,542.09
  4. Step 4: Simplify right side
    983,537.16x = 4,479,750,434,615.63
  5. Step 5: Solve for x
    x = 4,479,750,434,615.63/983,537.16
  6. Step 6: Final answer
    x = 4,554,734.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.