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Finding the Third Proportional to 1,176,966.75 and 2,495,195.25

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Solution

The third proportional to 1,176,966.75 and 2,495,195.25 is: 5,289,868.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176,966.75 : 2,495,195.25 = 2,495,195.25 : x
  2. Step 2: Convert to fraction form
    1,176,966.75/2,495,195.25 = 2,495,195.25/x
  3. Step 3: Cross multiply
    1,176,966.75x = 2,495,195.25 × 2,495,195.25
  4. Step 4: Simplify right side
    1,176,966.75x = 6,225,999,335,622.56
  5. Step 5: Solve for x
    x = 6,225,999,335,622.56/1,176,966.75
  6. Step 6: Final answer
    x = 5,289,868.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.