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Finding the Third Proportional to 772,135 and 1,164,277

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Solution

The third proportional to 772,135 and 1,164,277 is: 1,755,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,135 : 1,164,277 = 1,164,277 : x
  2. Step 2: Convert to fraction form
    772,135/1,164,277 = 1,164,277/x
  3. Step 3: Cross multiply
    772,135x = 1,164,277 × 1,164,277
  4. Step 4: Simplify right side
    772,135x = 1,355,540,932,729
  5. Step 5: Solve for x
    x = 1,355,540,932,729/772,135
  6. Step 6: Final answer
    x = 1,755,575.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.