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Finding the Third Proportional to 786,498 and 1,186,191

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Solution

The third proportional to 786,498 and 1,186,191 is: 1,789,005.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,498 : 1,186,191 = 1,186,191 : x
  2. Step 2: Convert to fraction form
    786,498/1,186,191 = 1,186,191/x
  3. Step 3: Cross multiply
    786,498x = 1,186,191 × 1,186,191
  4. Step 4: Simplify right side
    786,498x = 1,407,049,088,481
  5. Step 5: Solve for x
    x = 1,407,049,088,481/786,498
  6. Step 6: Final answer
    x = 1,789,005.30

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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.