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Finding the Third Proportional to 786,482 and 1,186,167

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Solution

The third proportional to 786,482 and 1,186,167 is: 1,788,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,482 : 1,186,167 = 1,186,167 : x
  2. Step 2: Convert to fraction form
    786,482/1,186,167 = 1,186,167/x
  3. Step 3: Cross multiply
    786,482x = 1,186,167 × 1,186,167
  4. Step 4: Simplify right side
    786,482x = 1,406,992,151,889
  5. Step 5: Solve for x
    x = 1,406,992,151,889/786,482
  6. Step 6: Final answer
    x = 1,788,969.30

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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.