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Finding the Third Proportional to 709,684 and 1,128,636

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Solution

The third proportional to 709,684 and 1,128,636 is: 1,794,910.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,684 : 1,128,636 = 1,128,636 : x
  2. Step 2: Convert to fraction form
    709,684/1,128,636 = 1,128,636/x
  3. Step 3: Cross multiply
    709,684x = 1,128,636 × 1,128,636
  4. Step 4: Simplify right side
    709,684x = 1,273,819,220,496
  5. Step 5: Solve for x
    x = 1,273,819,220,496/709,684
  6. Step 6: Final answer
    x = 1,794,910.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.