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Finding the Third Proportional to 713,435 and 1,485,918

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Solution

The third proportional to 713,435 and 1,485,918 is: 3,094,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,435 : 1,485,918 = 1,485,918 : x
  2. Step 2: Convert to fraction form
    713,435/1,485,918 = 1,485,918/x
  3. Step 3: Cross multiply
    713,435x = 1,485,918 × 1,485,918
  4. Step 4: Simplify right side
    713,435x = 2,207,952,302,724
  5. Step 5: Solve for x
    x = 2,207,952,302,724/713,435
  6. Step 6: Final answer
    x = 3,094,819.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.