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Finding the Third Proportional to 787,226 and 1,253,239

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Solution

The third proportional to 787,226 and 1,253,239 is: 1,995,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,226 : 1,253,239 = 1,253,239 : x
  2. Step 2: Convert to fraction form
    787,226/1,253,239 = 1,253,239/x
  3. Step 3: Cross multiply
    787,226x = 1,253,239 × 1,253,239
  4. Step 4: Simplify right side
    787,226x = 1,570,607,991,121
  5. Step 5: Solve for x
    x = 1,570,607,991,121/787,226
  6. Step 6: Final answer
    x = 1,995,117.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.