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Finding the Third Proportional to 1,267,013.50 and 2,732,071.50

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Solution

The third proportional to 1,267,013.50 and 2,732,071.50 is: 5,891,187.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,013.50 : 2,732,071.50 = 2,732,071.50 : x
  2. Step 2: Convert to fraction form
    1,267,013.50/2,732,071.50 = 2,732,071.50/x
  3. Step 3: Cross multiply
    1,267,013.50x = 2,732,071.50 × 2,732,071.50
  4. Step 4: Simplify right side
    1,267,013.50x = 7,464,214,681,112.25
  5. Step 5: Solve for x
    x = 7,464,214,681,112.25/1,267,013.50
  6. Step 6: Final answer
    x = 5,891,187.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.