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Finding the Third Proportional to 511,964 and 1,137,560

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Solution

The third proportional to 511,964 and 1,137,560 is: 2,527,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,964 : 1,137,560 = 1,137,560 : x
  2. Step 2: Convert to fraction form
    511,964/1,137,560 = 1,137,560/x
  3. Step 3: Cross multiply
    511,964x = 1,137,560 × 1,137,560
  4. Step 4: Simplify right side
    511,964x = 1,294,042,753,600
  5. Step 5: Solve for x
    x = 1,294,042,753,600/511,964
  6. Step 6: Final answer
    x = 2,527,604.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.