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Finding the Third Proportional to 1,280,280 and 2,790,960

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Solution

The third proportional to 1,280,280 and 2,790,960 is: 6,084,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,280 : 2,790,960 = 2,790,960 : x
  2. Step 2: Convert to fraction form
    1,280,280/2,790,960 = 2,790,960/x
  3. Step 3: Cross multiply
    1,280,280x = 2,790,960 × 2,790,960
  4. Step 4: Simplify right side
    1,280,280x = 7,789,457,721,600
  5. Step 5: Solve for x
    x = 7,789,457,721,600/1,280,280
  6. Step 6: Final answer
    x = 6,084,182.93

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Why These Related Problems?

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