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Finding the Third Proportional to 929,649 and 1,436,516

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Solution

The third proportional to 929,649 and 1,436,516 is: 2,219,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,649 : 1,436,516 = 1,436,516 : x
  2. Step 2: Convert to fraction form
    929,649/1,436,516 = 1,436,516/x
  3. Step 3: Cross multiply
    929,649x = 1,436,516 × 1,436,516
  4. Step 4: Simplify right side
    929,649x = 2,063,578,218,256
  5. Step 5: Solve for x
    x = 2,063,578,218,256/929,649
  6. Step 6: Final answer
    x = 2,219,739.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.