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Finding the Third Proportional to 613,700 and 1,312,694

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Solution

The third proportional to 613,700 and 1,312,694 is: 2,807,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,700 : 1,312,694 = 1,312,694 : x
  2. Step 2: Convert to fraction form
    613,700/1,312,694 = 1,312,694/x
  3. Step 3: Cross multiply
    613,700x = 1,312,694 × 1,312,694
  4. Step 4: Simplify right side
    613,700x = 1,723,165,537,636
  5. Step 5: Solve for x
    x = 1,723,165,537,636/613,700
  6. Step 6: Final answer
    x = 2,807,830.43

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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.