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Finding the Third Proportional to 765,503.39 and 1,678,052.64

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Solution

The third proportional to 765,503.39 and 1,678,052.64 is: 3,678,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,503.39 : 1,678,052.64 = 1,678,052.64 : x
  2. Step 2: Convert to fraction form
    765,503.39/1,678,052.64 = 1,678,052.64/x
  3. Step 3: Cross multiply
    765,503.39x = 1,678,052.64 × 1,678,052.64
  4. Step 4: Simplify right side
    765,503.39x = 2,815,860,651,598.92
  5. Step 5: Solve for x
    x = 2,815,860,651,598.92/765,503.39
  6. Step 6: Final answer
    x = 3,678,443.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.