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Finding the Third Proportional to 957,948 and 1,596,519

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Solution

The third proportional to 957,948 and 1,596,519 is: 2,660,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,948 : 1,596,519 = 1,596,519 : x
  2. Step 2: Convert to fraction form
    957,948/1,596,519 = 1,596,519/x
  3. Step 3: Cross multiply
    957,948x = 1,596,519 × 1,596,519
  4. Step 4: Simplify right side
    957,948x = 2,548,872,917,361
  5. Step 5: Solve for x
    x = 2,548,872,917,361/957,948
  6. Step 6: Final answer
    x = 2,660,763.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.