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Finding the Third Proportional to 772,038 and 1,171,177

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Solution

The third proportional to 772,038 and 1,171,177 is: 1,776,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,038 : 1,171,177 = 1,171,177 : x
  2. Step 2: Convert to fraction form
    772,038/1,171,177 = 1,171,177/x
  3. Step 3: Cross multiply
    772,038x = 1,171,177 × 1,171,177
  4. Step 4: Simplify right side
    772,038x = 1,371,655,565,329
  5. Step 5: Solve for x
    x = 1,371,655,565,329/772,038
  6. Step 6: Final answer
    x = 1,776,668.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.