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Finding the Third Proportional to 766,813.50 and 1,612,948.50

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Solution

The third proportional to 766,813.50 and 1,612,948.50 is: 3,392,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,813.50 : 1,612,948.50 = 1,612,948.50 : x
  2. Step 2: Convert to fraction form
    766,813.50/1,612,948.50 = 1,612,948.50/x
  3. Step 3: Cross multiply
    766,813.50x = 1,612,948.50 × 1,612,948.50
  4. Step 4: Simplify right side
    766,813.50x = 2,601,602,863,652.25
  5. Step 5: Solve for x
    x = 2,601,602,863,652.25/766,813.50
  6. Step 6: Final answer
    x = 3,392,745.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.