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Finding the Third Proportional to 613,515 and 1,312,320

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Solution

The third proportional to 613,515 and 1,312,320 is: 2,807,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,515 : 1,312,320 = 1,312,320 : x
  2. Step 2: Convert to fraction form
    613,515/1,312,320 = 1,312,320/x
  3. Step 3: Cross multiply
    613,515x = 1,312,320 × 1,312,320
  4. Step 4: Simplify right side
    613,515x = 1,722,183,782,400
  5. Step 5: Solve for x
    x = 1,722,183,782,400/613,515
  6. Step 6: Final answer
    x = 2,807,076.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.