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Finding the Third Proportional to 774,441 and 1,677,566.25

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Solution

The third proportional to 774,441 and 1,677,566.25 is: 3,633,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,441 : 1,677,566.25 = 1,677,566.25 : x
  2. Step 2: Convert to fraction form
    774,441/1,677,566.25 = 1,677,566.25/x
  3. Step 3: Cross multiply
    774,441x = 1,677,566.25 × 1,677,566.25
  4. Step 4: Simplify right side
    774,441x = 2,814,228,523,139.06
  5. Step 5: Solve for x
    x = 2,814,228,523,139.06/774,441
  6. Step 6: Final answer
    x = 3,633,883.70

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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.