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Finding the Third Proportional to 1,541,698.31 and 3,390,943.50

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Solution

The third proportional to 1,541,698.31 and 3,390,943.50 is: 7,458,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,698.31 : 3,390,943.50 = 3,390,943.50 : x
  2. Step 2: Convert to fraction form
    1,541,698.31/3,390,943.50 = 3,390,943.50/x
  3. Step 3: Cross multiply
    1,541,698.31x = 3,390,943.50 × 3,390,943.50
  4. Step 4: Simplify right side
    1,541,698.31x = 11,498,497,820,192.25
  5. Step 5: Solve for x
    x = 11,498,497,820,192.25/1,541,698.31
  6. Step 6: Final answer
    x = 7,458,331.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.