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Finding the Third Proportional to 738,846 and 1,595,577

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Solution

The third proportional to 738,846 and 1,595,577 is: 3,445,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,846 : 1,595,577 = 1,595,577 : x
  2. Step 2: Convert to fraction form
    738,846/1,595,577 = 1,595,577/x
  3. Step 3: Cross multiply
    738,846x = 1,595,577 × 1,595,577
  4. Step 4: Simplify right side
    738,846x = 2,545,865,962,929
  5. Step 5: Solve for x
    x = 2,545,865,962,929/738,846
  6. Step 6: Final answer
    x = 3,445,732.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.