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Finding the Third Proportional to 673,918 and 1,465,926

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Solution

The third proportional to 673,918 and 1,465,926 is: 3,188,724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,918 : 1,465,926 = 1,465,926 : x
  2. Step 2: Convert to fraction form
    673,918/1,465,926 = 1,465,926/x
  3. Step 3: Cross multiply
    673,918x = 1,465,926 × 1,465,926
  4. Step 4: Simplify right side
    673,918x = 2,148,939,037,476
  5. Step 5: Solve for x
    x = 2,148,939,037,476/673,918
  6. Step 6: Final answer
    x = 3,188,724.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.