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Finding the Third Proportional to 654,312 and 959,868

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Solution

The third proportional to 654,312 and 959,868 is: 1,408,115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,312 : 959,868 = 959,868 : x
  2. Step 2: Convert to fraction form
    654,312/959,868 = 959,868/x
  3. Step 3: Cross multiply
    654,312x = 959,868 × 959,868
  4. Step 4: Simplify right side
    654,312x = 921,346,577,424
  5. Step 5: Solve for x
    x = 921,346,577,424/654,312
  6. Step 6: Final answer
    x = 1,408,115.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.