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Finding the Third Proportional to 2,307,127.50 and 4,969,237.50

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Solution

The third proportional to 2,307,127.50 and 4,969,237.50 is: 10,703,058.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,127.50 : 4,969,237.50 = 4,969,237.50 : x
  2. Step 2: Convert to fraction form
    2,307,127.50/4,969,237.50 = 4,969,237.50/x
  3. Step 3: Cross multiply
    2,307,127.50x = 4,969,237.50 × 4,969,237.50
  4. Step 4: Simplify right side
    2,307,127.50x = 24,693,321,331,406.25
  5. Step 5: Solve for x
    x = 24,693,321,331,406.25/2,307,127.50
  6. Step 6: Final answer
    x = 10,703,058.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.