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Finding the Third Proportional to 1,049,723 and 1,574,311

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Solution

The third proportional to 1,049,723 and 1,574,311 is: 2,361,056.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,723 : 1,574,311 = 1,574,311 : x
  2. Step 2: Convert to fraction form
    1,049,723/1,574,311 = 1,574,311/x
  3. Step 3: Cross multiply
    1,049,723x = 1,574,311 × 1,574,311
  4. Step 4: Simplify right side
    1,049,723x = 2,478,455,124,721
  5. Step 5: Solve for x
    x = 2,478,455,124,721/1,049,723
  6. Step 6: Final answer
    x = 2,361,056.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.