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Finding the Third Proportional to 601,403 and 1,308,677

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Solution

The third proportional to 601,403 and 1,308,677 is: 2,847,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,403 : 1,308,677 = 1,308,677 : x
  2. Step 2: Convert to fraction form
    601,403/1,308,677 = 1,308,677/x
  3. Step 3: Cross multiply
    601,403x = 1,308,677 × 1,308,677
  4. Step 4: Simplify right side
    601,403x = 1,712,635,490,329
  5. Step 5: Solve for x
    x = 1,712,635,490,329/601,403
  6. Step 6: Final answer
    x = 2,847,733.53

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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.