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Finding the Third Proportional to 774,470 and 1,677,644

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Solution

The third proportional to 774,470 and 1,677,644 is: 3,634,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,470 : 1,677,644 = 1,677,644 : x
  2. Step 2: Convert to fraction form
    774,470/1,677,644 = 1,677,644/x
  3. Step 3: Cross multiply
    774,470x = 1,677,644 × 1,677,644
  4. Step 4: Simplify right side
    774,470x = 2,814,489,390,736
  5. Step 5: Solve for x
    x = 2,814,489,390,736/774,470
  6. Step 6: Final answer
    x = 3,634,084.46

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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.