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Finding the Third Proportional to 2,032,698.38 and 4,419,677.25

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Solution

The third proportional to 2,032,698.38 and 4,419,677.25 is: 9,609,663.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,698.38 : 4,419,677.25 = 4,419,677.25 : x
  2. Step 2: Convert to fraction form
    2,032,698.38/4,419,677.25 = 4,419,677.25/x
  3. Step 3: Cross multiply
    2,032,698.38x = 4,419,677.25 × 4,419,677.25
  4. Step 4: Simplify right side
    2,032,698.38x = 19,533,546,994,167.56
  5. Step 5: Solve for x
    x = 19,533,546,994,167.56/2,032,698.38
  6. Step 6: Final answer
    x = 9,609,663.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.