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Finding the Third Proportional to 2,938,538.25 and 4,540,789.13

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Solution

The third proportional to 2,938,538.25 and 4,540,789.13 is: 7,016,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938,538.25 : 4,540,789.13 = 4,540,789.13 : x
  2. Step 2: Convert to fraction form
    2,938,538.25/4,540,789.13 = 4,540,789.13/x
  3. Step 3: Cross multiply
    2,938,538.25x = 4,540,789.13 × 4,540,789.13
  4. Step 4: Simplify right side
    2,938,538.25x = 20,618,765,877,718.27
  5. Step 5: Solve for x
    x = 20,618,765,877,718.27/2,938,538.25
  6. Step 6: Final answer
    x = 7,016,674.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.