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Finding the Third Proportional to 585,379 and 1,258,102

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Solution

The third proportional to 585,379 and 1,258,102 is: 2,703,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,379 : 1,258,102 = 1,258,102 : x
  2. Step 2: Convert to fraction form
    585,379/1,258,102 = 1,258,102/x
  3. Step 3: Cross multiply
    585,379x = 1,258,102 × 1,258,102
  4. Step 4: Simplify right side
    585,379x = 1,582,820,642,404
  5. Step 5: Solve for x
    x = 1,582,820,642,404/585,379
  6. Step 6: Final answer
    x = 2,703,924.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.