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Finding the Third Proportional to 765,569 and 1,671,216

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Solution

The third proportional to 765,569 and 1,671,216 is: 3,648,218.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,569 : 1,671,216 = 1,671,216 : x
  2. Step 2: Convert to fraction form
    765,569/1,671,216 = 1,671,216/x
  3. Step 3: Cross multiply
    765,569x = 1,671,216 × 1,671,216
  4. Step 4: Simplify right side
    765,569x = 2,792,962,918,656
  5. Step 5: Solve for x
    x = 2,792,962,918,656/765,569
  6. Step 6: Final answer
    x = 3,648,218.41

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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.