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Finding the Third Proportional to 1,313,569 and 2,829,772

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Solution

The third proportional to 1,313,569 and 2,829,772 is: 6,096,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313,569 : 2,829,772 = 2,829,772 : x
  2. Step 2: Convert to fraction form
    1,313,569/2,829,772 = 2,829,772/x
  3. Step 3: Cross multiply
    1,313,569x = 2,829,772 × 2,829,772
  4. Step 4: Simplify right side
    1,313,569x = 8,007,609,571,984
  5. Step 5: Solve for x
    x = 8,007,609,571,984/1,313,569
  6. Step 6: Final answer
    x = 6,096,070.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.