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Finding the Third Proportional to 589,610 and 1,385,941

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Solution

The third proportional to 589,610 and 1,385,941 is: 3,257,801.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,610 : 1,385,941 = 1,385,941 : x
  2. Step 2: Convert to fraction form
    589,610/1,385,941 = 1,385,941/x
  3. Step 3: Cross multiply
    589,610x = 1,385,941 × 1,385,941
  4. Step 4: Simplify right side
    589,610x = 1,920,832,455,481
  5. Step 5: Solve for x
    x = 1,920,832,455,481/589,610
  6. Step 6: Final answer
    x = 3,257,801.69

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.