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Finding the Third Proportional to 613,827 and 1,312,926

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Solution

The third proportional to 613,827 and 1,312,926 is: 2,808,241.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,827 : 1,312,926 = 1,312,926 : x
  2. Step 2: Convert to fraction form
    613,827/1,312,926 = 1,312,926/x
  3. Step 3: Cross multiply
    613,827x = 1,312,926 × 1,312,926
  4. Step 4: Simplify right side
    613,827x = 1,723,774,681,476
  5. Step 5: Solve for x
    x = 1,723,774,681,476/613,827
  6. Step 6: Final answer
    x = 2,808,241.87

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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.