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Finding the Third Proportional to 1,268,709.75 and 2,735,472.94

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Solution

The third proportional to 1,268,709.75 and 2,735,472.94 is: 5,897,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,709.75 : 2,735,472.94 = 2,735,472.94 : x
  2. Step 2: Convert to fraction form
    1,268,709.75/2,735,472.94 = 2,735,472.94/x
  3. Step 3: Cross multiply
    1,268,709.75x = 2,735,472.94 × 2,735,472.94
  4. Step 4: Simplify right side
    1,268,709.75x = 7,482,812,191,794.88
  5. Step 5: Solve for x
    x = 7,482,812,191,794.88/1,268,709.75
  6. Step 6: Final answer
    x = 5,897,970.12

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Why These Related Problems?

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