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Finding the Third Proportional to 618,196 and 835,926

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Solution

The third proportional to 618,196 and 835,926 is: 1,130,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,196 : 835,926 = 835,926 : x
  2. Step 2: Convert to fraction form
    618,196/835,926 = 835,926/x
  3. Step 3: Cross multiply
    618,196x = 835,926 × 835,926
  4. Step 4: Simplify right side
    618,196x = 698,772,277,476
  5. Step 5: Solve for x
    x = 698,772,277,476/618,196
  6. Step 6: Final answer
    x = 1,130,340.99

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.