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Finding the Third Proportional to 688,868 and 1,459,684

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Solution

The third proportional to 688,868 and 1,459,684 is: 3,093,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,868 : 1,459,684 = 1,459,684 : x
  2. Step 2: Convert to fraction form
    688,868/1,459,684 = 1,459,684/x
  3. Step 3: Cross multiply
    688,868x = 1,459,684 × 1,459,684
  4. Step 4: Simplify right side
    688,868x = 2,130,677,379,856
  5. Step 5: Solve for x
    x = 2,130,677,379,856/688,868
  6. Step 6: Final answer
    x = 3,093,012.57

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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.