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Finding the Third Proportional to 613,754 and 1,312,796

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Solution

The third proportional to 613,754 and 1,312,796 is: 2,808,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,754 : 1,312,796 = 1,312,796 : x
  2. Step 2: Convert to fraction form
    613,754/1,312,796 = 1,312,796/x
  3. Step 3: Cross multiply
    613,754x = 1,312,796 × 1,312,796
  4. Step 4: Simplify right side
    613,754x = 1,723,433,337,616
  5. Step 5: Solve for x
    x = 1,723,433,337,616/613,754
  6. Step 6: Final answer
    x = 2,808,019.72

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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.