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Finding the Third Proportional to 739,138.50 and 1,596,246

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Solution

The third proportional to 739,138.50 and 1,596,246 is: 3,447,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,138.50 : 1,596,246 = 1,596,246 : x
  2. Step 2: Convert to fraction form
    739,138.50/1,596,246 = 1,596,246/x
  3. Step 3: Cross multiply
    739,138.50x = 1,596,246 × 1,596,246
  4. Step 4: Simplify right side
    739,138.50x = 2,548,001,292,516
  5. Step 5: Solve for x
    x = 2,548,001,292,516/739,138.50
  6. Step 6: Final answer
    x = 3,447,258.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.