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Finding the Third Proportional to 774,742.50 and 1,686,672

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Solution

The third proportional to 774,742.50 and 1,686,672 is: 3,672,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,742.50 : 1,686,672 = 1,686,672 : x
  2. Step 2: Convert to fraction form
    774,742.50/1,686,672 = 1,686,672/x
  3. Step 3: Cross multiply
    774,742.50x = 1,686,672 × 1,686,672
  4. Step 4: Simplify right side
    774,742.50x = 2,844,862,435,584
  5. Step 5: Solve for x
    x = 2,844,862,435,584/774,742.50
  6. Step 6: Final answer
    x = 3,672,010.29

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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.