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Finding the Third Proportional to 613,706 and 1,312,704

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Solution

The third proportional to 613,706 and 1,312,704 is: 2,807,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,706 : 1,312,704 = 1,312,704 : x
  2. Step 2: Convert to fraction form
    613,706/1,312,704 = 1,312,704/x
  3. Step 3: Cross multiply
    613,706x = 1,312,704 × 1,312,704
  4. Step 4: Simplify right side
    613,706x = 1,723,191,791,616
  5. Step 5: Solve for x
    x = 1,723,191,791,616/613,706
  6. Step 6: Final answer
    x = 2,807,845.76

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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.