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Finding the Third Proportional to 759,882 and 1,203,246

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Solution

The third proportional to 759,882 and 1,203,246 is: 1,905,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,882 : 1,203,246 = 1,203,246 : x
  2. Step 2: Convert to fraction form
    759,882/1,203,246 = 1,203,246/x
  3. Step 3: Cross multiply
    759,882x = 1,203,246 × 1,203,246
  4. Step 4: Simplify right side
    759,882x = 1,447,800,936,516
  5. Step 5: Solve for x
    x = 1,447,800,936,516/759,882
  6. Step 6: Final answer
    x = 1,905,297.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.