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Finding the Third Proportional to 613,036 and 1,336,432

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Solution

The third proportional to 613,036 and 1,336,432 is: 2,913,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,036 : 1,336,432 = 1,336,432 : x
  2. Step 2: Convert to fraction form
    613,036/1,336,432 = 1,336,432/x
  3. Step 3: Cross multiply
    613,036x = 1,336,432 × 1,336,432
  4. Step 4: Simplify right side
    613,036x = 1,786,050,490,624
  5. Step 5: Solve for x
    x = 1,786,050,490,624/613,036
  6. Step 6: Final answer
    x = 2,913,451.23

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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.