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Finding the Third Proportional to 613,548 and 1,312,380

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Solution

The third proportional to 613,548 and 1,312,380 is: 2,807,182.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,548 : 1,312,380 = 1,312,380 : x
  2. Step 2: Convert to fraction form
    613,548/1,312,380 = 1,312,380/x
  3. Step 3: Cross multiply
    613,548x = 1,312,380 × 1,312,380
  4. Step 4: Simplify right side
    613,548x = 1,722,341,264,400
  5. Step 5: Solve for x
    x = 1,722,341,264,400/613,548
  6. Step 6: Final answer
    x = 2,807,182.59

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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.