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Finding the Third Proportional to 1,849,542.19 and 2,902,131.28

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Solution

The third proportional to 1,849,542.19 and 2,902,131.28 is: 4,553,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849,542.19 : 2,902,131.28 = 2,902,131.28 : x
  2. Step 2: Convert to fraction form
    1,849,542.19/2,902,131.28 = 2,902,131.28/x
  3. Step 3: Cross multiply
    1,849,542.19x = 2,902,131.28 × 2,902,131.28
  4. Step 4: Simplify right side
    1,849,542.19x = 8,422,365,973,609.77
  5. Step 5: Solve for x
    x = 8,422,365,973,609.77/1,849,542.19
  6. Step 6: Final answer
    x = 4,553,757.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.