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Finding the Third Proportional to 1,187,353.69 and 2,315,643.19

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Solution

The third proportional to 1,187,353.69 and 2,315,643.19 is: 4,516,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187,353.69 : 2,315,643.19 = 2,315,643.19 : x
  2. Step 2: Convert to fraction form
    1,187,353.69/2,315,643.19 = 2,315,643.19/x
  3. Step 3: Cross multiply
    1,187,353.69x = 2,315,643.19 × 2,315,643.19
  4. Step 4: Simplify right side
    1,187,353.69x = 5,362,203,371,815.16
  5. Step 5: Solve for x
    x = 5,362,203,371,815.16/1,187,353.69
  6. Step 6: Final answer
    x = 4,516,096.11

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.