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Finding the Third Proportional to 1,317,680 and 2,876,320

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Solution

The third proportional to 1,317,680 and 2,876,320 is: 6,278,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,680 : 2,876,320 = 2,876,320 : x
  2. Step 2: Convert to fraction form
    1,317,680/2,876,320 = 2,876,320/x
  3. Step 3: Cross multiply
    1,317,680x = 2,876,320 × 2,876,320
  4. Step 4: Simplify right side
    1,317,680x = 8,273,216,742,400
  5. Step 5: Solve for x
    x = 8,273,216,742,400/1,317,680
  6. Step 6: Final answer
    x = 6,278,623.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.