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Finding the Third Proportional to 781,265.25 and 1,712,094.75

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Solution

The third proportional to 781,265.25 and 1,712,094.75 is: 3,751,950.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,265.25 : 1,712,094.75 = 1,712,094.75 : x
  2. Step 2: Convert to fraction form
    781,265.25/1,712,094.75 = 1,712,094.75/x
  3. Step 3: Cross multiply
    781,265.25x = 1,712,094.75 × 1,712,094.75
  4. Step 4: Simplify right side
    781,265.25x = 2,931,268,432,977.56
  5. Step 5: Solve for x
    x = 2,931,268,432,977.56/781,265.25
  6. Step 6: Final answer
    x = 3,751,950.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.