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Finding the Third Proportional to 1,314,470 and 2,865,676

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Solution

The third proportional to 1,314,470 and 2,865,676 is: 6,247,460.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,470 : 2,865,676 = 2,865,676 : x
  2. Step 2: Convert to fraction form
    1,314,470/2,865,676 = 2,865,676/x
  3. Step 3: Cross multiply
    1,314,470x = 2,865,676 × 2,865,676
  4. Step 4: Simplify right side
    1,314,470x = 8,212,098,936,976
  5. Step 5: Solve for x
    x = 8,212,098,936,976/1,314,470
  6. Step 6: Final answer
    x = 6,247,460.15

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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.