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Finding the Third Proportional to 929,821.78 and 1,436,186.32

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Solution

The third proportional to 929,821.78 and 1,436,186.32 is: 2,218,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,821.78 : 1,436,186.32 = 1,436,186.32 : x
  2. Step 2: Convert to fraction form
    929,821.78/1,436,186.32 = 1,436,186.32/x
  3. Step 3: Cross multiply
    929,821.78x = 1,436,186.32 × 1,436,186.32
  4. Step 4: Simplify right side
    929,821.78x = 2,062,631,146,652.76
  5. Step 5: Solve for x
    x = 2,062,631,146,652.76/929,821.78
  6. Step 6: Final answer
    x = 2,218,308.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.