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Finding the Third Proportional to 1,191,596 and 2,553,760

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Solution

The third proportional to 1,191,596 and 2,553,760 is: 5,473,071.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191,596 : 2,553,760 = 2,553,760 : x
  2. Step 2: Convert to fraction form
    1,191,596/2,553,760 = 2,553,760/x
  3. Step 3: Cross multiply
    1,191,596x = 2,553,760 × 2,553,760
  4. Step 4: Simplify right side
    1,191,596x = 6,521,690,137,600
  5. Step 5: Solve for x
    x = 6,521,690,137,600/1,191,596
  6. Step 6: Final answer
    x = 5,473,071.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.