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Finding the Third Proportional to 587,658 and 1,286,052

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Solution

The third proportional to 587,658 and 1,286,052 is: 2,814,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,658 : 1,286,052 = 1,286,052 : x
  2. Step 2: Convert to fraction form
    587,658/1,286,052 = 1,286,052/x
  3. Step 3: Cross multiply
    587,658x = 1,286,052 × 1,286,052
  4. Step 4: Simplify right side
    587,658x = 1,653,929,746,704
  5. Step 5: Solve for x
    x = 1,653,929,746,704/587,658
  6. Step 6: Final answer
    x = 2,814,442.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.