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Finding the Third Proportional to 688,867 and 1,459,682

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Solution

The third proportional to 688,867 and 1,459,682 is: 3,093,008.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,867 : 1,459,682 = 1,459,682 : x
  2. Step 2: Convert to fraction form
    688,867/1,459,682 = 1,459,682/x
  3. Step 3: Cross multiply
    688,867x = 1,459,682 × 1,459,682
  4. Step 4: Simplify right side
    688,867x = 2,130,671,541,124
  5. Step 5: Solve for x
    x = 2,130,671,541,124/688,867
  6. Step 6: Final answer
    x = 3,093,008.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.