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Finding the Third Proportional to 772,737 and 1,678,476.75

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Solution

The third proportional to 772,737 and 1,678,476.75 is: 3,645,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,737 : 1,678,476.75 = 1,678,476.75 : x
  2. Step 2: Convert to fraction form
    772,737/1,678,476.75 = 1,678,476.75/x
  3. Step 3: Cross multiply
    772,737x = 1,678,476.75 × 1,678,476.75
  4. Step 4: Simplify right side
    772,737x = 2,817,284,200,290.56
  5. Step 5: Solve for x
    x = 2,817,284,200,290.56/772,737
  6. Step 6: Final answer
    x = 3,645,851.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.