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Finding the Third Proportional to 765,355.50 and 1,670,587.88

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Solution

The third proportional to 765,355.50 and 1,670,587.88 is: 3,646,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,355.50 : 1,670,587.88 = 1,670,587.88 : x
  2. Step 2: Convert to fraction form
    765,355.50/1,670,587.88 = 1,670,587.88/x
  3. Step 3: Cross multiply
    765,355.50x = 1,670,587.88 × 1,670,587.88
  4. Step 4: Simplify right side
    765,355.50x = 2,790,863,848,097.02
  5. Step 5: Solve for x
    x = 2,790,863,848,097.02/765,355.50
  6. Step 6: Final answer
    x = 3,646,493.49

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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.