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Finding the Third Proportional to 758,683 and 1,625,609

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Solution

The third proportional to 758,683 and 1,625,609 is: 3,483,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,683 : 1,625,609 = 1,625,609 : x
  2. Step 2: Convert to fraction form
    758,683/1,625,609 = 1,625,609/x
  3. Step 3: Cross multiply
    758,683x = 1,625,609 × 1,625,609
  4. Step 4: Simplify right side
    758,683x = 2,642,604,620,881
  5. Step 5: Solve for x
    x = 2,642,604,620,881/758,683
  6. Step 6: Final answer
    x = 3,483,147.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.