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Finding the Third Proportional to 758,674 and 1,656,361

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Solution

The third proportional to 758,674 and 1,656,361 is: 3,616,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,674 : 1,656,361 = 1,656,361 : x
  2. Step 2: Convert to fraction form
    758,674/1,656,361 = 1,656,361/x
  3. Step 3: Cross multiply
    758,674x = 1,656,361 × 1,656,361
  4. Step 4: Simplify right side
    758,674x = 2,743,531,762,321
  5. Step 5: Solve for x
    x = 2,743,531,762,321/758,674
  6. Step 6: Final answer
    x = 3,616,219.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.