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Finding the Third Proportional to 602,014 and 881,425

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Solution

The third proportional to 602,014 and 881,425 is: 1,290,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,014 : 881,425 = 881,425 : x
  2. Step 2: Convert to fraction form
    602,014/881,425 = 881,425/x
  3. Step 3: Cross multiply
    602,014x = 881,425 × 881,425
  4. Step 4: Simplify right side
    602,014x = 776,910,030,625
  5. Step 5: Solve for x
    x = 776,910,030,625/602,014
  6. Step 6: Final answer
    x = 1,290,518.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.