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Finding the Third Proportional to 757,756 and 1,658,216

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Solution

The third proportional to 757,756 and 1,658,216 is: 3,628,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,756 : 1,658,216 = 1,658,216 : x
  2. Step 2: Convert to fraction form
    757,756/1,658,216 = 1,658,216/x
  3. Step 3: Cross multiply
    757,756x = 1,658,216 × 1,658,216
  4. Step 4: Simplify right side
    757,756x = 2,749,680,302,656
  5. Step 5: Solve for x
    x = 2,749,680,302,656/757,756
  6. Step 6: Final answer
    x = 3,628,714.66

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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.