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Finding the Third Proportional to 765,567 and 1,671,212

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Solution

The third proportional to 765,567 and 1,671,212 is: 3,648,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,567 : 1,671,212 = 1,671,212 : x
  2. Step 2: Convert to fraction form
    765,567/1,671,212 = 1,671,212/x
  3. Step 3: Cross multiply
    765,567x = 1,671,212 × 1,671,212
  4. Step 4: Simplify right side
    765,567x = 2,792,949,548,944
  5. Step 5: Solve for x
    x = 2,792,949,548,944/765,567
  6. Step 6: Final answer
    x = 3,648,210.48

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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.